458160 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 115456.

The previous prime is 458123. The next prime is 458173. The reversal of 458160 is 61854.

It is a tau number, because it is divible by the number of its divisors (80).

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 458160.

It is an unprimeable number.

458160 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, 5479 + ... + 5561.

2⁴⁵⁸¹⁶⁰ is an apocalyptic number.

458160 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 458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

458160 is an abundant number, since it is smaller than the sum of its proper divisors (1041744).

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

458160 is a wasteful number, since it uses less digits than its factorization.

458160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 116 counting only the distinct ones).

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

The square root of 458160 is about 676.8751731302. The cubic root of 458160 is about 77.0913628516.

The spelling of 458160 in words is "four hundred fifty-eight thousand, one hundred sixty".