564876800 has 60 divisors (see below), whose sum is σ = 1399558116. Its totient is φ = 225945600.

The previous prime is 564876787. The next prime is 564876811. The reversal of 564876800 is 8678465.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 9266 + ... + 34865.

Almost surely, 2^564876800 is an apocalyptic number.

564876800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564876800 is an abundant number, since it is smaller than the sum of its proper divisors (834681316).

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

564876800 is an equidigital number, since it uses as much as digits as its factorization.

564876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44159 (or 44138 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 564876800 is about 23767.1369752438. The cubic root of 564876800 is about 826.6428481980.

The spelling of 564876800 in words is "five hundred sixty-four million, eight hundred seventy-six thousand, eight hundred".