257376 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 73344.

The previous prime is 257371. The next prime is 257381. The reversal of 257376 is 673752.

It is an interprime number because it is at equal distance from previous prime (257371) and next prime (257381).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2²⁵⁷³⁷⁶ 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 257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

257376 is an abundant number, since it is smaller than the sum of its proper divisors (516768).

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

257376 is a wasteful number, since it uses less digits than its factorization.

257376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its digits is 8820, while the sum is 30.

The square root of 257376 is about 507.3223827114. The cubic root of 257376 is about 63.6096026006.

The spelling of 257376 in words is "two hundred fifty-seven thousand, three hundred seventy-six".