563576400 has 120 divisors (see below), whose sum is σ = 2005952960. Its totient is φ = 150284160.

The previous prime is 563576399. The next prime is 563576407. The reversal of 563576400 is 4675365.

563576400 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 7 + 640 + 0 = 666.

563576400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563576407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15292 + ... + 36891.

Almost surely, 2^563576400 is an apocalyptic number.

563576400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563576400 is an abundant number, since it is smaller than the sum of its proper divisors (1442376560).

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

563576400 is a wasteful number, since it uses less digits than its factorization.

563576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52210 (or 52193 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 563576400 is about 23739.7641100328. The cubic root of 563576400 is about 826.0080240452.

The spelling of 563576400 in words is "five hundred sixty-three million, five hundred seventy-six thousand, four hundred".