485160 has 64 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 119040.

The previous prime is 485137. The next prime is 485161. The reversal of 485160 is 61584.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 485160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485161) by changing a digit.

485160 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 15 ways as a sum of consecutive naturals, for example, 1405 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁴⁸⁵¹⁶⁰ is an apocalyptic number.

485160 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 485160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

485160 is an abundant number, since it is smaller than the sum of its proper divisors (1087320).

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

485160 is a wasteful number, since it uses less digits than its factorization.

485160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 485160 is about 696.5342776921. The cubic root of 485160 is about 78.5769189394.

The spelling of 485160 in words is "four hundred eighty-five thousand, one hundred sixty".