461410560 has 432 divisors, whose sum is σ = 1795449600. Its totient is φ = 112140288.

The previous prime is 461410553. The next prime is 461410571. The reversal of 461410560 is 65014164.

461410560 is a `hidden beast` number, since 4 + 61 + 41 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5840601 + ... + 5840679.

Almost surely, 2^461410560 is an apocalyptic number.

461410560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897724800).

461410560 is an abundant number, since it is smaller than the sum of its proper divisors (1334039040).

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

461410560 is a wasteful number, since it uses less digits than its factorization.

461410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 461410560 is about 21480.4692686170. The cubic root of 461410560 is about 772.7324967079.

The spelling of 461410560 in words is "four hundred sixty-one million, four hundred ten thousand, five hundred sixty".