460626656160 has 192 divisors, whose sum is σ = 1651702026240. Its totient is φ = 106811950080.

The previous prime is 460626656107. The next prime is 460626656179. The reversal of 460626656160 is 61656626064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775080 + ... + 2017959.

It is an arithmetic number, because the mean of its divisors is an integer number (8602614720).

Almost surely, 2^460626656160 is an apocalyptic number.

460626656160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460626656160 is an abundant number, since it is smaller than the sum of its proper divisors (1191075370080).

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

460626656160 is a wasteful number, since it uses less digits than its factorization.

460626656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793091 (or 3793083 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 460626656160 in words is "four hundred sixty billion, six hundred twenty-six million, six hundred fifty-six thousand, one hundred sixty".