• 512 can be written using four 4's:
The cubic root of 512 is 8.
It is a Jordan-Polya number, since it can be written as (2!)9.
512 is nontrivially palindromic in base 7 and base 15.
It is an ABA number since it can be written as A⋅BA, here for A=2, B=16.
It is a Leyland number of the form 44 + 44.
It is a magnanimous number.
It is a Duffinian number.
512 is an undulating number in base 15.
It is a plaindrome in base 12 and base 14.
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 512.
It is an unprimeable number.
In principle, a polygon with 512 sides can be constructed with ruler and compass.
It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 512
512 is an frugal number, since it uses more digits than its factorization.
512 is an odious number, because the sum of its binary digits is odd.
The square root of 512 is about 22.6274169980.
Adding to 512 its reverse (215), we get a palindrome (727).