564922800 has 180 divisors, whose sum is σ = 2111416944. Its totient is φ = 139046400.

The previous prime is 564922793. The next prime is 564922807. The reversal of 564922800 is 8229465.

It is a happy number.

564922800 is a `hidden beast` number, since 5 + 649 + 2 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564922793) and next prime (564922807).

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (564922807) 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 35 ways as a sum of consecutive naturals, for example, 40765 + ... + 52835.

Almost surely, 2^564922800 is an apocalyptic number.

564922800 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 564922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055708472).

564922800 is an abundant number, since it is smaller than the sum of its proper divisors (1546494144).

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

564922800 is a wasteful number, since it uses less digits than its factorization.

564922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12108 (or 12094 counting only the distinct ones).

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

The square root of 564922800 is about 23768.1046783289. The cubic root of 564922800 is about 826.6652864470.

The spelling of 564922800 in words is "five hundred sixty-four million, nine hundred twenty-two thousand, eight hundred".