564000800 has 72 divisors (see below), whose sum is σ = 1502060112. Its totient is φ = 205088000.

The previous prime is 564000793. The next prime is 564000809. The reversal of 564000800 is 8000465.

It is not an unprimeable number, because it can be changed into a prime (564000809) 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 11 ways as a sum of consecutive naturals, for example, 23246 + ... + 40845.

It is an arithmetic number, because the mean of its divisors is an integer number (20861946).

Almost surely, 2^564000800 is an apocalyptic number.

564000800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564000800 is an abundant number, since it is smaller than the sum of its proper divisors (938059312).

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

564000800 is a wasteful number, since it uses less digits than its factorization.

564000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64122 (or 64109 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 564000800 is about 23748.7010171083. The cubic root of 564000800 is about 826.2153132117.

The spelling of 564000800 in words is "five hundred sixty-four million, eight hundred", and thus it is an aban number.