564904800 has 144 divisors (see below), whose sum is σ = 2043150480. Its totient is φ = 150635520.

The previous prime is 564904799. The next prime is 564904807. The reversal of 564904800 is 8409465.

564904800 is a `hidden beast` number, since 5 + 649 + 0 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (564904807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8524 + ... + 34676.

It is an arithmetic number, because the mean of its divisors is an integer number (14188545).

Almost surely, 2^564904800 is an apocalyptic number.

564904800 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 564904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021575240).

564904800 is an abundant number, since it is smaller than the sum of its proper divisors (1478245680).

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

564904800 is a wasteful number, since it uses less digits than its factorization.

564904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26182 (or 26163 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 564904800 is about 23767.7260165965. The cubic root of 564904800 is about 826.6565064077.

The spelling of 564904800 in words is "five hundred sixty-four million, nine hundred four thousand, eight hundred".