457360 has 20 divisors (see below), whose sum is σ = 1063548. Its totient is φ = 182912.

The previous prime is 457339. The next prime is 457363. The reversal of 457360 is 63754.

457360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215296 + 242064 = 464^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (457363) by changing a digit.

457360 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 3 ways as a sum of consecutive naturals, for example, 2779 + ... + 2938.

2⁴⁵⁷³⁶⁰ is an apocalyptic number.

457360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457360 is an abundant number, since it is smaller than the sum of its proper divisors (606188).

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

457360 is a wasteful number, since it uses less digits than its factorization.

457360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 457360 is about 676.2839640269. The cubic root of 457360 is about 77.0464665844.

The spelling of 457360 in words is "four hundred fifty-seven thousand, three hundred sixty".