564961800 has 96 divisors (see below), whose sum is σ = 1886129280. Its totient is φ = 139065600.

The previous prime is 564961753. The next prime is 564961801. The reversal of 564961800 is 8169465.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (564961801) 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, 28416 + ... + 44015.

It is an arithmetic number, because the mean of its divisors is an integer number (19647180).

Almost surely, 2^564961800 is an apocalyptic number.

564961800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564961800 is an abundant number, since it is smaller than the sum of its proper divisors (1321167480).

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

564961800 is a wasteful number, since it uses less digits than its factorization.

564961800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72463 (or 72454 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 564961800 is about 23768.9250913877. The cubic root of 564961800 is about 826.6843092257.

The spelling of 564961800 in words is "five hundred sixty-four million, nine hundred sixty-one thousand, eight hundred".