460040404644 has 72 divisors (see below), whose sum is σ = 1226121958880. Its totient is φ = 145034064000.

The previous prime is 460040404631. The next prime is 460040404651. The reversal of 460040404644 is 446404040064.

460040404644 is a `hidden beast` number, since 4 + 6 + 0 + 0 + 4 + 0 + 4 + 0 + 4 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460040404599 and 460040404608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148462 + ... + 970629.

Almost surely, 2^460040404644 is an apocalyptic number.

It is an amenable number.

460040404644 is an abundant number, since it is smaller than the sum of its proper divisors (766081554236).

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

460040404644 is a wasteful number, since it uses less digits than its factorization.

460040404644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119721 (or 1119716 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 460040404644 in words is "four hundred sixty billion, forty million, four hundred four thousand, six hundred forty-four".