460449601984 has 56 divisors (see below), whose sum is σ = 917061818400. Its totient is φ = 229379604480.

The previous prime is 460449601979. The next prime is 460449601987. The reversal of 460449601984 is 489106944064.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460449601987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61479712 + ... + 61487200.

It is an arithmetic number, because the mean of its divisors is an integer number (16376103900).

Almost surely, 2^460449601984 is an apocalyptic number.

It is an amenable number.

460449601984 is a deficient number, since it is larger than the sum of its proper divisors (456612216416).

460449601984 is a wasteful number, since it uses less digits than its factorization.

460449601984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 460449601984 in words is "four hundred sixty billion, four hundred forty-nine million, six hundred one thousand, nine hundred eighty-four".