338457 has 16 divisors (see below), whose sum is σ = 525312. Its totient is φ = 189840.

The previous prime is 338449. The next prime is 338461. The reversal of 338457 is 754833.

It is not a de Polignac number, because 338457 - 2³ = 338449 is a prime.

It is a super-2 number, since 2×338457² = 229106281698, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338457.

It is not an unprimeable number, because it can be changed into a prime (338407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (32832).

2³³⁸⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

338457 is a deficient number, since it is larger than the sum of its proper divisors (186855).

338457 is a wasteful number, since it uses less digits than its factorization.

338457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308.

The product of its digits is 10080, while the sum is 30.

The square root of 338457 is about 581.7705733363. The cubic root of 338457 is about 69.6895778168.

The spelling of 338457 in words is "three hundred thirty-eight thousand, four hundred fifty-seven".