563878400 has 60 divisors (see below), whose sum is σ = 1397084502. Its totient is φ = 225546240.

The previous prime is 563878397. The next prime is 563878429. The reversal of 563878400 is 4878365.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 471410944 + 92467456 = 21712^2 + 9616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9227 + ... + 34826.

Almost surely, 2^563878400 is an apocalyptic number.

563878400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563878400 is an abundant number, since it is smaller than the sum of its proper divisors (833206102).

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

563878400 is an equidigital number, since it uses as much as digits as its factorization.

563878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44081 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 563878400 is about 23746.1238942275. The cubic root of 563878400 is about 826.1555402049.

The spelling of 563878400 in words is "five hundred sixty-three million, eight hundred seventy-eight thousand, four hundred".