460895634990 has 96 divisors (see below), whose sum is σ = 1379973044736. Its totient is φ = 104543375040.

The previous prime is 460895634961. The next prime is 460895635001. The reversal of 460895634990 is 99436598064.

460895634990 is a `hidden beast` number, since 4 + 6 + 0 + 89 + 5 + 63 + 499 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2709762 + ... + 2874821.

It is an arithmetic number, because the mean of its divisors is an integer number (14374719216).

Almost surely, 2^460895634990 is an apocalyptic number.

460895634990 is an abundant number, since it is smaller than the sum of its proper divisors (919077409746).

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

460895634990 is a wasteful number, since it uses less digits than its factorization.

460895634990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584734 (or 5584731 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 460895634990 in words is "four hundred sixty billion, eight hundred ninety-five million, six hundred thirty-four thousand, nine hundred ninety".