564000900 has 72 divisors (see below), whose sum is σ = 1669830624. Its totient is φ = 146899200.

The previous prime is 564000889. The next prime is 564000901. The reversal of 564000900 is 9000465.

It is not an unprimeable number, because it can be changed into a prime (564000901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8961 + ... + 34760.

It is an arithmetic number, because the mean of its divisors is an integer number (23192092).

Almost surely, 2^564000900 is an apocalyptic number.

564000900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564000900 is an abundant number, since it is smaller than the sum of its proper divisors (1105829724).

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

564000900 is a wasteful number, since it uses less digits than its factorization.

564000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43781 (or 43774 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 564000900 is about 23748.7031224865. The cubic root of 564000900 is about 826.2153620423.

The spelling of 564000900 in words is "five hundred sixty-four million, nine hundred", and thus it is an aban number.