564318800 has 60 divisors (see below), whose sum is σ = 1414745760. Its totient is φ = 215909760.

The previous prime is 564318773. The next prime is 564318809. The reversal of 564318800 is 8813465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564318809) 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 11 ways as a sum of consecutive naturals, for example, 21470 + ... + 39869.

It is an arithmetic number, because the mean of its divisors is an integer number (23579096).

Almost surely, 2^564318800 is an apocalyptic number.

564318800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564318800 is an abundant number, since it is smaller than the sum of its proper divisors (850426960).

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

564318800 is a wasteful number, since it uses less digits than its factorization.

564318800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61380 (or 61369 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 564318800 is about 23755.3951766751. The cubic root of 564318800 is about 826.3705654180.

The spelling of 564318800 in words is "five hundred sixty-four million, three hundred eighteen thousand, eight hundred".