257882352 has 160 divisors (see below), whose sum is σ = 839612928. Its totient is φ = 66382848.

The previous prime is 257882327. The next prime is 257882377. The reversal of 257882352 is 253288752.

It is an interprime number because it is at equal distance from previous prime (257882327) and next prime (257882377).

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

It is a congruent number.

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, 187138 + ... + 188510.

Almost surely, 2^257882352 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 257882352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419806464).

257882352 is an abundant number, since it is smaller than the sum of its proper divisors (581730576).

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

257882352 is a wasteful number, since it uses less digits than its factorization.

257882352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 257882352 is about 16058.7157643443. The cubic root of 257882352 is about 636.5128966590.

The spelling of 257882352 in words is "two hundred fifty-seven million, eight hundred eighty-two thousand, three hundred fifty-two".