564940800 has 234 divisors, whose sum is σ = 2026797422. Its totient is φ = 150405120.

The previous prime is 564940781. The next prime is 564940829. The reversal of 564940800 is 8049465.

564940800 is a `hidden beast` number, since 5 + 649 + 4 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 557715456 = 2688^2 + 23616^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921294 + ... + 921906.

Almost surely, 2^564940800 is an apocalyptic number.

564940800 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 564940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013398711).

564940800 is an abundant number, since it is smaller than the sum of its proper divisors (1461856622).

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

564940800 is a wasteful number, since it uses less digits than its factorization.

564940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 564940800 is about 23768.4833340287. The cubic root of 564940800 is about 826.6740662998.

The spelling of 564940800 in words is "five hundred sixty-four million, nine hundred forty thousand, eight hundred".