564991200 has 180 divisors, whose sum is σ = 2060649360. Its totient is φ = 150647040.

The previous prime is 564991199. The next prime is 564991237. The reversal of 564991200 is 2199465.

564991200 is a `hidden beast` number, since 5 + 649 + 9 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 60441 + ... + 69159.

It is an arithmetic number, because the mean of its divisors is an integer number (11448052).

Almost surely, 2^564991200 is an apocalyptic number.

564991200 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 564991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030324680).

564991200 is an abundant number, since it is smaller than the sum of its proper divisors (1495658160).

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

564991200 is a wasteful number, since it uses less digits than its factorization.

564991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8751 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 564991200 is about 23769.5435378974. The cubic root of 564991200 is about 826.6986488956.

The spelling of 564991200 in words is "five hundred sixty-four million, nine hundred ninety-one thousand, two hundred".