564472600 has 48 divisors (see below), whose sum is σ = 1316322000. Its totient is φ = 225114240.

The previous prime is 564472553. The next prime is 564472613. The reversal of 564472600 is 6274465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65757 + ... + 73843.

It is an arithmetic number, because the mean of its divisors is an integer number (27423375).

Almost surely, 2^564472600 is an apocalyptic number.

564472600 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 564472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658161000).

564472600 is an abundant number, since it is smaller than the sum of its proper divisors (751849400).

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

564472600 is a wasteful number, since it uses less digits than its factorization.

564472600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8452 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 564472600 is about 23758.6321155070. The cubic root of 564472600 is about 826.4456318806.

The spelling of 564472600 in words is "five hundred sixty-four million, four hundred seventy-two thousand, six hundred".