472957056 has 480 divisors, whose sum is σ = 1723560300. Its totient is φ = 127733760.

The previous prime is 472957021. The next prime is 472957061. The reversal of 472957056 is 650759274.

472957056 is a `hidden beast` number, since 4 + 7 + 29 + 570 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 457275456 + 15681600 = 21384^2 + 3960^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16308850 + ... + 16308878.

Almost surely, 2^472957056 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 472957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861780150).

472957056 is an abundant number, since it is smaller than the sum of its proper divisors (1250603244).

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

472957056 is a wasteful number, since it uses less digits than its factorization.

472957056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 472957056 is about 21747.5758649096. The cubic root of 472957056 is about 779.1251730306.

The spelling of 472957056 in words is "four hundred seventy-two million, nine hundred fifty-seven thousand, fifty-six".