460718498490120 has 288 divisors, whose sum is σ = 1630432713686400. Its totient is φ = 112774065550848.

The previous prime is 460718498490097. The next prime is 460718498490149. The reversal of 460718498490120 is 21094894817064.

460718498490120 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 18 + 4 + 9 + 8 + 490 + 120 = 666.

It is a super-2 number, since 2×460718498490120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10262224 + ... + 32042943.

It is an arithmetic number, because the mean of its divisors is an integer number (5661224700300).

Almost surely, 2^{460718498490120} is an apocalyptic number.

460718498490120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460718498490120 is an abundant number, since it is smaller than the sum of its proper divisors (1169714215196280).

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

460718498490120 is a wasteful number, since it uses less digits than its factorization.

460718498490120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42305389 (or 42305369 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 460718498490120 in words is "four hundred sixty trillion, seven hundred eighteen billion, four hundred ninety-eight million, four hundred ninety thousand, one hundred twenty".