457160 has 32 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 166080.

The previous prime is 457153. The next prime is 457183. The reversal of 457160 is 61754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁴⁵⁷¹⁶⁰ is an apocalyptic number.

457160 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 457160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

457160 is an abundant number, since it is smaller than the sum of its proper divisors (666040).

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

457160 is a wasteful number, since it uses less digits than its factorization.

457160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 457160 is about 676.1360809778. The cubic root of 457160 is about 77.0352343385.

The spelling of 457160 in words is "four hundred fifty-seven thousand, one hundred sixty".