461204512560 has 120 divisors (see below), whose sum is σ = 1689685652304. Its totient is φ = 111807152640.

The previous prime is 461204512541. The next prime is 461204512579. The reversal of 461204512560 is 65215402164.

461204512560 is a `hidden beast` number, since 4 + 6 + 120 + 451 + 25 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (461204512541) and next prime (461204512579).

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 29108527 + ... + 29124366.

Almost surely, 2^461204512560 is an apocalyptic number.

461204512560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461204512560 is an abundant number, since it is smaller than the sum of its proper divisors (1228481139744).

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

461204512560 is a wasteful number, since it uses less digits than its factorization.

461204512560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58232923 (or 58232914 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 461204512560 in words is "four hundred sixty-one billion, two hundred four million, five hundred twelve thousand, five hundred sixty".