460988560 has 40 divisors (see below), whose sum is σ = 1079647416. Its totient is φ = 183045120.

The previous prime is 460988533. The next prime is 460988579. The reversal of 460988560 is 65889064.

It can be written as a sum of positive squares in 4 ways, for example, as 204604416 + 256384144 = 14304^2 + 16012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 460988560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10071 + ... + 31990.

Almost surely, 2^460988560 is an apocalyptic number.

460988560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460988560 is an abundant number, since it is smaller than the sum of its proper divisors (618658856).

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

460988560 is a wasteful number, since it uses less digits than its factorization.

460988560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42211 (or 42205 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 460988560 is about 21470.6441449715. The cubic root of 460988560 is about 772.4968478766.

The spelling of 460988560 in words is "four hundred sixty million, nine hundred eighty-eight thousand, five hundred sixty".