257965260 has 96 divisors (see below), whose sum is σ = 852160512. Its totient is φ = 57058560.

The previous prime is 257965249. The next prime is 257965271. The reversal of 257965260 is 62569752.

257965260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257965249) and next prime (257965271).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114 + ... + 22926.

It is an arithmetic number, because the mean of its divisors is an integer number (8876672).

Almost surely, 2^257965260 is an apocalyptic number.

257965260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257965260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426080256).

257965260 is an abundant number, since it is smaller than the sum of its proper divisors (594195252).

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

257965260 is a wasteful number, since it uses less digits than its factorization.

257965260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19863 (or 19861 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 257965260 is about 16061.2969588387. The cubic root of 257965260 is about 636.5811013481.

The spelling of 257965260 in words is "two hundred fifty-seven million, nine hundred sixty-five thousand, two hundred sixty".