461137160 has 64 divisors (see below), whose sum is σ = 1158252480. Its totient is φ = 163779840.

The previous prime is 461137133. The next prime is 461137181. The reversal of 461137160 is 61731164.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6734 + ... + 31106.

It is an arithmetic number, because the mean of its divisors is an integer number (18097695).

Almost surely, 2^461137160 is an apocalyptic number.

461137160 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 461137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579126240).

461137160 is an abundant number, since it is smaller than the sum of its proper divisors (697115320).

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

461137160 is a wasteful number, since it uses less digits than its factorization.

461137160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24438 (or 24434 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 461137160 is about 21474.1044050736. The cubic root of 461137160 is about 772.5798439342.

The spelling of 461137160 in words is "four hundred sixty-one million, one hundred thirty-seven thousand, one hundred sixty".