564635904 has 144 divisors (see below), whose sum is σ = 1733050368. Its totient is φ = 159860736.

The previous prime is 564635893. The next prime is 564635921. The reversal of 564635904 is 409536465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682339 + ... + 683165.

It is an arithmetic number, because the mean of its divisors is an integer number (12035072).

Almost surely, 2^564635904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866525184).

564635904 is an abundant number, since it is smaller than the sum of its proper divisors (1168414464).

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

564635904 is a wasteful number, since it uses less digits than its factorization.

564635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 564635904 is about 23762.0685968204. The cubic root of 564635904 is about 826.5253221169.

The spelling of 564635904 in words is "five hundred sixty-four million, six hundred thirty-five thousand, nine hundred four".