461160 has 128 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 103680.

The previous prime is 461147. The next prime is 461171. The reversal of 461160 is 61164.

461160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461160.

It is an unprimeable number.

461160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7530 + ... + 7590.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2⁴⁶¹¹⁶⁰ is an apocalyptic number.

461160 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 461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

461160 is an abundant number, since it is smaller than the sum of its proper divisors (1324440).

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

461160 is a wasteful number, since it uses less digits than its factorization.

461160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 461160 is about 679.0876232122. The cubic root of 461160 is about 77.2592598948.

The spelling of 461160 in words is "four hundred sixty-one thousand, one hundred sixty".