564311808 has 162 divisors, whose sum is σ = 1704540656. Its totient is φ = 179536896.

The previous prime is 564311807. The next prime is 564311843. The reversal of 564311808 is 808113465.

564311808 is a `hidden beast` number, since 5 + 643 + 1 + 1 + 8 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564311807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1218585 + ... + 1219047.

Almost surely, 2^564311808 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 564311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852270328).

564311808 is an abundant number, since it is smaller than the sum of its proper divisors (1140228848).

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

564311808 is a wasteful number, since it uses less digits than its factorization.

564311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 564311808 is about 23755.2480096504. The cubic root of 564311808 is about 826.3671524495.

The spelling of 564311808 in words is "five hundred sixty-four million, three hundred eleven thousand, eight hundred eight".