564483600 has 120 divisors (see below), whose sum is σ = 2009181920. Its totient is φ = 150526080.

The previous prime is 564483593. The next prime is 564483607. The reversal of 564483600 is 6384465.

564483600 is a `hidden beast` number, since 5 + 6 + 4 + 48 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (564483593) and next prime (564483607).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (564483607) 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 23 ways as a sum of consecutive naturals, for example, 15334 + ... + 36933.

Almost surely, 2^564483600 is an apocalyptic number.

564483600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564483600 is an abundant number, since it is smaller than the sum of its proper divisors (1444698320).

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

564483600 is a wasteful number, since it uses less digits than its factorization.

564483600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52294 (or 52277 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564483600 is about 23758.8636091880. The cubic root of 564483600 is about 826.4510002209.

The spelling of 564483600 in words is "five hundred sixty-four million, four hundred eighty-three thousand, six hundred".