460772262315 has 128 divisors (see below), whose sum is σ = 861746135040. Its totient is φ = 233299440000.

The previous prime is 460772262289. The next prime is 460772262317. The reversal of 460772262315 is 513262277064.

460772262315 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 7 + 2 + 2 + 623 + 15 = 666.

It is not a de Polignac number, because 460772262315 - 2⁸ = 460772262059 is a prime.

It is a super-2 number, since 2×460772262315² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (460772262317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70375872 + ... + 70382418.

It is an arithmetic number, because the mean of its divisors is an integer number (6732391680).

Almost surely, 2^460772262315 is an apocalyptic number.

460772262315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

460772262315 is a deficient number, since it is larger than the sum of its proper divisors (400973872725).

460772262315 is a wasteful number, since it uses less digits than its factorization.

460772262315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 460772262315 in words is "four hundred sixty billion, seven hundred seventy-two million, two hundred sixty-two thousand, three hundred fifteen".