380457 has 40 divisors (see below), whose sum is σ = 720192. Its totient is φ = 194400.

The previous prime is 380453. The next prime is 380459. The reversal of 380457 is 754083.

It is not a de Polignac number, because 380457 - 2² = 380453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 3³ + 8³ + 4⁹ + 0 + 5³ + 7⁶ .

380457 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 380457.

It is not an unprimeable number, because it can be changed into a prime (380453) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6207 + ... + 6267.

2³⁸⁰⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

380457 is a deficient number, since it is larger than the sum of its proper divisors (339735).

380457 is a wasteful number, since it uses less digits than its factorization.

380457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 380457 is about 616.8119648645. The cubic root of 380457 is about 72.4605889645.

The spelling of 380457 in words is "three hundred eighty thousand, four hundred fifty-seven".