472965478272 has 512 divisors, whose sum is σ = 1651145318400. Its totient is φ = 130427781120.

The previous prime is 472965478259. The next prime is 472965478289. The reversal of 472965478272 is 272874569274.

It is a happy number.

472965478272 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 6 + 547 + 82 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432721758 + ... + 432722850.

It is an arithmetic number, because the mean of its divisors is an integer number (3224893200).

Almost surely, 2^472965478272 is an apocalyptic number.

472965478272 is a gapful number since it is divisible by the number (42) 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 472965478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825572659200).

472965478272 is an abundant number, since it is smaller than the sum of its proper divisors (1178179840128).

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

472965478272 is a wasteful number, since it uses less digits than its factorization.

472965478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1713 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 472965478272 in words is "four hundred seventy-two billion, nine hundred sixty-five million, four hundred seventy-eight thousand, two hundred seventy-two".