566400800 has 108 divisors (see below), whose sum is σ = 1608588450. Its totient is φ = 194181120.

The previous prime is 566400761. The next prime is 566400817. The reversal of 566400800 is 8004665.

It can be written as a sum of positive squares in 3 ways, for example, as 544008976 + 22391824 = 23324^2 + 4732^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 31976 + ... + 46424.

Almost surely, 2^566400800 is an apocalyptic number.

566400800 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 566400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804294225).

566400800 is an abundant number, since it is smaller than the sum of its proper divisors (1042187650).

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

566400800 is a wasteful number, since it uses less digits than its factorization.

566400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14463 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 566400800 is about 23799.1764563398. The cubic root of 566400800 is about 827.3855897659.

The spelling of 566400800 in words is "five hundred sixty-six million, four hundred thousand, eight hundred".