472961232 has 120 divisors (see below), whose sum is σ = 1406744040. Its totient is φ = 148055040.

The previous prime is 472961231. The next prime is 472961239. The reversal of 472961232 is 232169274.

472961232 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 612 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 297769536 + 175191696 = 17256^2 + 13236^2 .

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 alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472961231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 152982 + ... + 156042.

It is an arithmetic number, because the mean of its divisors is an integer number (11722867).

Almost surely, 2^472961232 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 472961232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703372020).

472961232 is an abundant number, since it is smaller than the sum of its proper divisors (933782808).

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

472961232 is a wasteful number, since it uses less digits than its factorization.

472961232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3132 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 472961232 is about 21747.6718753985. The cubic root of 472961232 is about 779.1274661332.

The spelling of 472961232 in words is "four hundred seventy-two million, nine hundred sixty-one thousand, two hundred thirty-two".