472628352 has 64 divisors (see below), whose sum is σ = 1434772800. Its totient is φ = 135035904.

The previous prime is 472628293. The next prime is 472628369. The reversal of 472628352 is 253826274.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×472628352² = 446755118228471808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472628352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85227 + ... + 90602.

It is an arithmetic number, because the mean of its divisors is an integer number (22418325).

Almost surely, 2^472628352 is an apocalyptic number.

472628352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

472628352 is an abundant number, since it is smaller than the sum of its proper divisors (962144448).

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

472628352 is a wasteful number, since it uses less digits than its factorization.

472628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175853 (or 175841 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 472628352 is about 21740.0172953013. The cubic root of 472628352 is about 778.9446345014.

The spelling of 472628352 in words is "four hundred seventy-two million, six hundred twenty-eight thousand, three hundred fifty-two".