257432 has 16 divisors (see below), whose sum is σ = 551760. Its totient is φ = 110304.

The previous prime is 257407. The next prime is 257437. The reversal of 257432 is 234752.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 257398 and 257407.

It is a congruent number.

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

257432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2243 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (34485).

2²⁵⁷⁴³² is an apocalyptic number.

It is an amenable number.

257432 is an abundant number, since it is smaller than the sum of its proper divisors (294328).

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

257432 is a wasteful number, since it uses less digits than its factorization.

257432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4606 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 257432 is about 507.3775714397. The cubic root of 257432 is about 63.6142156692.

The spelling of 257432 in words is "two hundred fifty-seven thousand, four hundred thirty-two".