457352 has 16 divisors (see below), whose sum is σ = 980160. Its totient is φ = 195984.

The previous prime is 457339. The next prime is 457363. The reversal of 457352 is 253754.

It is a d-powerful number, because it can be written as 4 + 5⁴ + 3¹¹ + 7⁵ + 5⁴ + 2¹⁸ .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4028 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (61260).

2⁴⁵⁷³⁵² is an apocalyptic number.

It is an amenable number.

457352 is an abundant number, since it is smaller than the sum of its proper divisors (522808).

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

457352 is a wasteful number, since it uses less digits than its factorization.

457352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8180 (or 8176 counting only the distinct ones).

The product of its digits is 4200, while the sum is 26.

The square root of 457352 is about 676.2780493259. The cubic root of 457352 is about 77.0460173575.

The spelling of 457352 in words is "four hundred fifty-seven thousand, three hundred fifty-two".