564076800 has 324 divisors, whose sum is σ = 2306449600. Its totient is φ = 128839680.

The previous prime is 564076789. The next prime is 564076829. The reversal of 564076800 is 8670465.

It is a happy number.

564076800 is a `hidden beast` number, since 5 + 640 + 7 + 6 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402501 + ... + 403899.

Almost surely, 2^564076800 is an apocalyptic number.

564076800 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 564076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153224800).

564076800 is an abundant number, since it is smaller than the sum of its proper divisors (1742372800).

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

564076800 is a wasteful number, since it uses less digits than its factorization.

564076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 564076800 is about 23750.3010507235. The cubic root of 564076800 is about 826.2524228184.

The spelling of 564076800 in words is "five hundred sixty-four million, seventy-six thousand, eight hundred".