257438 has 8 divisors (see below), whose sum is σ = 390432. Its totient is φ = 127296.

The previous prime is 257437. The next prime is 257443. The reversal of 257438 is 834752.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a self number, because there is not a number n which added to its sum of digits gives 257438.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257438.

It is not an unprimeable number, because it can be changed into a prime (257437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (48804).

2²⁵⁷⁴³⁸ is an apocalyptic number.

257438 is a deficient number, since it is larger than the sum of its proper divisors (132994).

257438 is a wasteful number, since it uses less digits than its factorization.

257438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426.

The product of its digits is 6720, while the sum is 29.

The square root of 257438 is about 507.3834841616. The cubic root of 257438 is about 63.6147098868.

The spelling of 257438 in words is "two hundred fifty-seven thousand, four hundred thirty-eight".