257448 has 32 divisors (see below), whose sum is σ = 682560. Its totient is φ = 80640.

The previous prime is 257447. The next prime is 257459. The reversal of 257448 is 844752.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (257443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 93 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (21330).

2²⁵⁷⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341280).

257448 is an abundant number, since it is smaller than the sum of its proper divisors (425112).

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

257448 is a wasteful number, since it uses less digits than its factorization.

257448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 257448 is about 507.3933385452. The cubic root of 257448 is about 63.6155335659.

It can be divided in two parts, 25744 and 8, that added together give a palindrome (25752).

The spelling of 257448 in words is "two hundred fifty-seven thousand, four hundred forty-eight".