257690250 has 96 divisors (see below), whose sum is σ = 737891856. Its totient is φ = 64665600.

The previous prime is 257690249. The next prime is 257690263. The reversal of 257690250 is 52096752.

It can be written as a sum of positive squares in 8 ways, for example, as 27531009 + 230159241 = 5247^2 + 15171^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34882 + ... + 41618.

Almost surely, 2^257690250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257690250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368945928).

257690250 is an abundant number, since it is smaller than the sum of its proper divisors (480201606).

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

257690250 is a wasteful number, since it uses less digits than its factorization.

257690250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6764 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 257690250 is about 16052.7334121015. The cubic root of 257690250 is about 636.3548067730.

The spelling of 257690250 in words is "two hundred fifty-seven million, six hundred ninety thousand, two hundred fifty".