566400 has 96 divisors (see below), whose sum is σ = 1897200. Its totient is φ = 148480.

The previous prime is 566393. The next prime is 566413. The reversal of 566400 is 4665.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9571 + ... + 9629.

2⁵⁶⁶⁴⁰⁰ is an apocalyptic number.

566400 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 566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948600).

566400 is an abundant number, since it is smaller than the sum of its proper divisors (1330800).

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

566400 is a wasteful number, since it uses less digits than its factorization.

566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 566400 is about 752.5955088891. The cubic root of 566400 is about 82.7385200225.

The spelling of 566400 in words is "five hundred sixty-six thousand, four hundred".