564533800 has 24 divisors (see below), whose sum is σ = 1312541550. Its totient is φ = 225813440.

The previous prime is 564533789. The next prime is 564533803. The reversal of 564533800 is 8335465.

It can be written as a sum of positive squares in 3 ways, for example, as 468376164 + 96157636 = 21642^2 + 9806^2 .

It is a super-2 number, since 2×564533800² = 637396822684880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564533803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1411135 + ... + 1411534.

Almost surely, 2^564533800 is an apocalyptic number.

564533800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564533800 is an abundant number, since it is smaller than the sum of its proper divisors (748007750).

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

564533800 is a wasteful number, since it uses less digits than its factorization.

564533800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822685 (or 2822676 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 564533800 is about 23759.9200335355. The cubic root of 564533800 is about 826.4754984882.

The spelling of 564533800 in words is "five hundred sixty-four million, five hundred thirty-three thousand, eight hundred".