• 564 can be written using four 4's:
564 is nontrivially palindromic in base 5 and base 9.
564 is an esthetic number in base 13 and base 16, because in such bases its adjacent digits differ by 1.
It is a tau number, because it is divible by the number of its divisors (12).
564 is an undulating number in base 9.
It is a plaindrome in base 13, base 15 and base 16.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564.
2564 is an apocalyptic number.
It is an amenable number.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
564 is a wasteful number, since it uses less digits than its factorization.
564 is an evil number, because the sum of its binary digits is even.
The square root of 564 is about 23.7486841741. The cubic root of 564 is about 8.2621492257.
Subtracting from 564 its product of digits (120), we obtain a palindrome (444).
Subtracting from 564 its reverse (465), we obtain a palindrome (99).
The spelling of 564 in words is "five hundred sixty-four", and thus it is an aban number.