564568800 has 144 divisors (see below), whose sum is σ = 1865630592. Its totient is φ = 148262400.

The previous prime is 564568777. The next prime is 564568813. The reversal of 564568800 is 8865465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159045 + ... + 162555.

It is an arithmetic number, because the mean of its divisors is an integer number (12955768).

Almost surely, 2^564568800 is an apocalyptic number.

564568800 is a gapful number since it is divisible by the number (50) 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 564568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932815296).

564568800 is an abundant number, since it is smaller than the sum of its proper divisors (1301061792).

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

564568800 is a wasteful number, since it uses less digits than its factorization.

564568800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 564568800 is about 23760.6565565853. The cubic root of 564568800 is about 826.4925780942.

It can be divided in two parts, 56456 and 8800, that added together give a palindrome (65256).

The spelling of 564568800 in words is "five hundred sixty-four million, five hundred sixty-eight thousand, eight hundred".