564316900 has 72 divisors (see below), whose sum is σ = 1414103936. Its totient is φ = 191462400.

The previous prime is 564316889. The next prime is 564316931. The reversal of 564316900 is 9613465.

It is a super-2 number, since 2×564316900² = 636907127251220000, which contains 22 as substring.

It is an unprimeable number.

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, 63745 + ... + 72055.

Almost surely, 2^564316900 is an apocalyptic number.

564316900 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 564316900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707051968).

564316900 is an abundant number, since it is smaller than the sum of its proper divisors (849787036).

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

564316900 is a wasteful number, since it uses less digits than its factorization.

564316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 564316900 is about 23755.3551857260. The cubic root of 564316900 is about 826.3696379837.

The spelling of 564316900 in words is "five hundred sixty-four million, three hundred sixteen thousand, nine hundred".