472655520 has 384 divisors, whose sum is σ = 1776660480. Its totient is φ = 117089280.

The previous prime is 472655483. The next prime is 472655531. The reversal of 472655520 is 25556274.

472655520 is a `hidden beast` number, since 4 + 72 + 65 + 5 + 520 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6657085 + ... + 6657155.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^472655520 is an apocalyptic number.

472655520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472655520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240).

472655520 is an abundant number, since it is smaller than the sum of its proper divisors (1304004960).

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

472655520 is a wasteful number, since it uses less digits than its factorization.

472655520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 472655520 is about 21740.6421248315. The cubic root of 472655520 is about 778.9595595211.

The spelling of 472655520 in words is "four hundred seventy-two million, six hundred fifty-five thousand, five hundred twenty".