564477120 has 224 divisors, whose sum is σ = 2018995200. Its totient is φ = 148442112.

The previous prime is 564477059. The next prime is 564477157. The reversal of 564477120 is 21774465.

564477120 is a `hidden beast` number, since 5 + 64 + 477 + 120 = 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 31 ways as a sum of consecutive naturals, for example, 682147 + ... + 682973.

Almost surely, 2^564477120 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 564477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009497600).

564477120 is an abundant number, since it is smaller than the sum of its proper divisors (1454518080).

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

564477120 is a wasteful number, since it uses less digits than its factorization.

564477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 564477120 is about 23758.7272386380. The cubic root of 564477120 is about 826.4478377889.

The spelling of 564477120 in words is "five hundred sixty-four million, four hundred seventy-seven thousand, one hundred twenty".