472656 has 40 divisors (see below), whose sum is σ = 1254880. Its totient is φ = 153216.

The previous prime is 472643. The next prime is 472669. The reversal of 472656 is 656274.

It is an interprime number because it is at equal distance from previous prime (472643) and next prime (472669).

It is a d-powerful number, because it can be written as 4⁸ + 7⁴ + 6⁶ + 2 + 5⁷ + 6⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 2178.

It is an arithmetic number, because the mean of its divisors is an integer number (31372).

2⁴⁷²⁶⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 687×688.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627440).

472656 is an abundant number, since it is smaller than the sum of its proper divisors (782224).

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

472656 is a wasteful number, since it uses less digits than its factorization.

472656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 472656 is about 687.4998181818. The cubic root of 472656 is about 77.8959823209.

It can be divided in two parts, 472 and 656, that added together give a triangular number (1128 = T₄₇).

The spelling of 472656 in words is "four hundred seventy-two thousand, six hundred fifty-six".