564094080 has 384 divisors, whose sum is σ = 2205403200. Its totient is φ = 131604480.

The previous prime is 564094061. The next prime is 564094151. The reversal of 564094080 is 80490465.

564094080 is a `hidden beast` number, since 5 + 640 + 9 + 4 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1837287 + ... + 1837593.

Almost surely, 2^564094080 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 564094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102701600).

564094080 is an abundant number, since it is smaller than the sum of its proper divisors (1641309120).

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

564094080 is a wasteful number, since it uses less digits than its factorization.

564094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

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

The square root of 564094080 is about 23750.6648327999. The cubic root of 564094080 is about 826.2608599060.

The spelling of 564094080 in words is "five hundred sixty-four million, ninety-four thousand, eighty".