460629416680 has 64 divisors (see below), whose sum is σ = 1097506020240. Its totient is φ = 173393805312.

The previous prime is 460629416669. The next prime is 460629416699. The reversal of 460629416680 is 86614926064.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 242022673764 + 218606742916 = 491958^2 + 467554^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6898012 + ... + 6964468.

Almost surely, 2^460629416680 is an apocalyptic number.

460629416680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460629416680 is an abundant number, since it is smaller than the sum of its proper divisors (636876603560).

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

460629416680 is a wasteful number, since it uses less digits than its factorization.

460629416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76678 (or 76674 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 460629416680 in words is "four hundred sixty billion, six hundred twenty-nine million, four hundred sixteen thousand, six hundred eighty".