479924509401792 has 1120 divisors, whose sum is σ = 1767953277009920. Its totient is φ = 125347995279360.

The previous prime is 479924509401761. The next prime is 479924509401839. The reversal of 479924509401792 is 297104905429974.

479924509401792 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 2 + 4 + 509 + 40 + 1 + 79 + 2 = 666.

It is a super-2 number, since 2×479924509401792² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 479924509401792.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34209452634 + ... + 34209466662.

It is an arithmetic number, because the mean of its divisors is an integer number (1578529711616).

Almost surely, 2^{479924509401792} is an apocalyptic number.

479924509401792 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 479924509401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883976638504960).

479924509401792 is an abundant number, since it is smaller than the sum of its proper divisors (1288028767608128).

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

479924509401792 is a wasteful number, since it uses less digits than its factorization.

479924509401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14771 (or 14752 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 479924509401792 in words is "four hundred seventy-nine trillion, nine hundred twenty-four billion, five hundred nine million, four hundred one thousand, seven hundred ninety-two".