472678656 has 144 divisors (see below), whose sum is σ = 1371115200. Its totient is φ = 143990784.

The previous prime is 472678643. The next prime is 472678667. The reversal of 472678656 is 656876274.

It is a super-2 number, since 2×472678656² = 446850223675932672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 472678599 and 472678608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422610 + ... + 423726.

Almost surely, 2^472678656 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 472678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685557600).

472678656 is an abundant number, since it is smaller than the sum of its proper divisors (898436544).

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

472678656 is a wasteful number, since it uses less digits than its factorization.

472678656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1170 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 472678656 is about 21741.1742093200. The cubic root of 472678656 is about 778.9722690693.

The spelling of 472678656 in words is "four hundred seventy-two million, six hundred seventy-eight thousand, six hundred fifty-six".