564904704 has 288 divisors, whose sum is σ = 1895523840. Its totient is φ = 145391616.

The previous prime is 564904667. The next prime is 564904777. The reversal of 564904704 is 407409465.

It is a happy number.

It is a super-3 number, since 3×564904704³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 4123324 + ... + 4123460.

It is an arithmetic number, because the mean of its divisors is an integer number (6581680).

Almost surely, 2^564904704 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 564904704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947761920).

564904704 is an abundant number, since it is smaller than the sum of its proper divisors (1330619136).

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

564904704 is a wasteful number, since it uses less digits than its factorization.

564904704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 564904704 is about 23767.7239970511. The cubic root of 564904704 is about 826.6564595803.

The spelling of 564904704 in words is "five hundred sixty-four million, nine hundred four thousand, seven hundred four".