457152 has 28 divisors (see below), whose sum is σ = 1210056. Its totient is φ = 152320.

The previous prime is 457151. The next prime is 457153. The reversal of 457152 is 251754.

It is an interprime number because it is at equal distance from previous prime (457151) and next prime (457153).

It is a super-2 number, since 2×457152² = 417975902208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 999 + ... + 1382.

2⁴⁵⁷¹⁵² is an apocalyptic number.

It is an amenable number.

457152 is an abundant number, since it is smaller than the sum of its proper divisors (752904).

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

457152 is a wasteful number, since it uses less digits than its factorization.

457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2386 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 457152 is about 676.1301649830. The cubic root of 457152 is about 77.0347849806.

The spelling of 457152 in words is "four hundred fifty-seven thousand, one hundred fifty-two".