257048 has 32 divisors (see below), whose sum is σ = 552960. Its totient is φ = 110880.

The previous prime is 257017. The next prime is 257053. The reversal of 257048 is 840752.

257048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 507²-1.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1961 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2²⁵⁷⁰⁴⁸ 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 257048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480).

257048 is an abundant number, since it is smaller than the sum of its proper divisors (295912).

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

257048 is a wasteful number, since it uses less digits than its factorization.

257048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 257048 is about 506.9990138057. Note that the first 3 decimals coincide. The cubic root of 257048 is about 63.5825697525.

The spelling of 257048 in words is "two hundred fifty-seven thousand, forty-eight".