No.

Ask the Kobold: I Spy with My Little Eye by Skip Williams, nuff said.

The nondection spell description could say that it defeats all divination spells (regardless of their descriptors or modes of operation), but it does not. Instead, it specifies a broad subset of divination spells against which it is effective.

So, what divination spells are subject to interference from nondetection? The spell description gives a few clues: nondetection gives some protection against divination spells that are directed against the warded subject or the area the subject is in. In particular:

• Divination spells with the scrying descriptor. Clairaudience/clairvoyance is the best example here. If you see the scrying descriptor in the second line of the spell description (right after the spell’s name and school), the divination caster must make a caster level check for the spell to work.

• Divination spells with any range entry other than personal or touch. When a divination spell has a range of personal or touch, it grants the spell recipient some extra ability to perceive things and nondetection cannot ward its subject against the spell. When a divination spell has a range other than personal or touch, the spell must be directed at an area or at a specific subject and nondetection is effective against it. It’s worth noting here that scrying spells generally have ranges other than personal or touch.

Here’s a quick (and incomplete) list of divination spells that nondetection does not affect:

[...]

arcane sight, greater arcane sight, augury, commune, commune with nature, comprehend languages, contact other plane, divination, find the path, find traps, foresight, guidance, know direction, legend lore, moment of prescience, read magic, see invisibility, speak with animals, speak with plants, stone tell, telepathic bond, tongues, true seeing, true strike, vision

And if the man who wrote the book is wrong, then all the rules are.

Mind blank foils legend lore

Mind blank states that:

The spell even foils wish spells and spells or effects of similar power used to affect the target's mind or to gain information about the target.

Legend lore states that:

The spell brings to your mind a brief summary of the significant lore about the thing you named. [...] The information you learn is accurate but might be couched in figurative language.

Legend lore is clearly a spell used to gain information and so it is foiled by mind blank.

Note that mind blank doesn't foil attempts to gain information from its target, it foils attempts to gain information about its target, which means that:

• it doesn't matter whether that information is known to other people, written in a book, or long since forgotten.
• it doesn't matter how legend lore gains information.

So long as the information is about mind blank's target, then attempts to gain it via spells (or similar effects) are foiled.

Whether nondetection prevents legend lore is unclear

Nondetection states that:

The target can't be targeted by any divination magic or perceived through magical scrying sensors.

Legend lore is certainly divination magic, but does it target the named/described person/place/object?

"Target" is ambigous in 5th edition and in the case of legend lore, I do not think a solid case can be made either way.

When you cast legend lore you are choosing something by naming or describing it and this is similar to other spells where you choose your target(s). However, other spells subject their targets to an effect, whereas legend lore doesn't: you learn information about something, but nothing happens to that thing.