479157874272 has 1296 divisors, whose sum is σ = 1905368512320. Its totient is φ = 117690693120.

The previous prime is 479157874267. The next prime is 479157874289. The reversal of 479157874272 is 272478751974.

479157874272 is a `hidden beast` number, since 47 + 91 + 5 + 7 + 87 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 875973903 + ... + 875974449.

Almost surely, 2^479157874272 is an apocalyptic number.

479157874272 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 479157874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952684256160).

479157874272 is an abundant number, since it is smaller than the sum of its proper divisors (1426210638048).

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

479157874272 is a wasteful number, since it uses less digits than its factorization.

479157874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 589 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The spelling of 479157874272 in words is "four hundred seventy-nine billion, one hundred fifty-seven million, eight hundred seventy-four thousand, two hundred seventy-two".