461663160 has 128 divisors (see below), whose sum is σ = 1633996800. Its totient is φ = 102113280.

The previous prime is 461663119. The next prime is 461663177. The reversal of 461663160 is 61366164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17176 + ... + 34904.

It is an arithmetic number, because the mean of its divisors is an integer number (12765600).

Almost surely, 2^461663160 is an apocalyptic number.

461663160 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 461663160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816998400).

461663160 is an abundant number, since it is smaller than the sum of its proper divisors (1172333640).

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

461663160 is a wasteful number, since it uses less digits than its factorization.

461663160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17781 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 461663160 is about 21486.3482239305. The cubic root of 461663160 is about 772.8734822256.

It can be divided in two parts, 4616 and 63160, that added together give a palindrome (67776).

The spelling of 461663160 in words is "four hundred sixty-one million, six hundred sixty-three thousand, one hundred sixty".