564512256 has 480 divisors, whose sum is σ = 2134649088. Its totient is φ = 139345920.

The previous prime is 564512237. The next prime is 564512257. The reversal of 564512256 is 652215465.

564512256 is a `hidden beast` number, since 5 + 645 + 1 + 2 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 564512256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564512257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13128171 + ... + 13128213.

Almost surely, 2^564512256 is an apocalyptic number.

564512256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067324544).

564512256 is an abundant number, since it is smaller than the sum of its proper divisors (1570136832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564512256 is a wasteful number, since it uses less digits than its factorization.

564512256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 564512256 is about 23759.4666606807. The cubic root of 564512256 is about 826.4649849077.

The spelling of 564512256 in words is "five hundred sixty-four million, five hundred twelve thousand, two hundred fifty-six".