457376 has 12 divisors (see below), whose sum is σ = 900522. Its totient is φ = 228672.

The previous prime is 457367. The next prime is 457381. The reversal of 457376 is 673754.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 400 = 676^2 + 20^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 14293 = 457376 / (4 + 5 + 7 + 3 + 7 + 6).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7115 + ... + 7178.

2⁴⁵⁷³⁷⁶ is an apocalyptic number.

It is an amenable number.

457376 is a deficient number, since it is larger than the sum of its proper divisors (443146).

457376 is a wasteful number, since it uses less digits than its factorization.

457376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14303 (or 14295 counting only the distinct ones).

The product of its digits is 17640, while the sum is 32.

The square root of 457376 is about 676.2957932739. The cubic root of 457376 is about 77.0473650226.

The spelling of 457376 in words is "four hundred fifty-seven thousand, three hundred seventy-six".