564085200 has 120 divisors (see below), whose sum is σ = 2065119808. Its totient is φ = 128931840.

The previous prime is 564085187. The next prime is 564085217. The reversal of 564085200 is 2580465.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×564085200² = 636384225718080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 25177 + ... + 41976.

Almost surely, 2^564085200 is an apocalyptic number.

564085200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564085200 is an abundant number, since it is smaller than the sum of its proper divisors (1501034608).

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

564085200 is a wasteful number, since it uses less digits than its factorization.

564085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67181 (or 67170 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 564085200 is about 23750.4778899289. The cubic root of 564085200 is about 826.2565242019.

The spelling of 564085200 in words is "five hundred sixty-four million, eighty-five thousand, two hundred".