564204960 has 384 divisors, whose sum is σ = 2229534720. Its totient is φ = 132019200.

The previous prime is 564204913. The next prime is 564204961. The reversal of 564204960 is 69402465.

564204960 is a `hidden beast` number, since 5 + 642 + 0 + 4 + 9 + 6 + 0 = 666.

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 (564204961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1472929 + ... + 1473311.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2^564204960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114767360).

564204960 is an abundant number, since it is smaller than the sum of its proper divisors (1665329760).

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

564204960 is a wasteful number, since it uses less digits than its factorization.

564204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 564204960 is about 23752.9989685513. The cubic root of 564204960 is about 826.3149937850.

The spelling of 564204960 in words is "five hundred sixty-four million, two hundred four thousand, nine hundred sixty".