257427258 has 48 divisors (see below), whose sum is σ = 585476640. Its totient is φ = 75312160.

The previous prime is 257427251. The next prime is 257427281. The reversal of 257427258 is 852724752.

257427258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257427258² = 132537586322797128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257427251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14941 + ... + 27167.

It is an arithmetic number, because the mean of its divisors is an integer number (12197430).

Almost surely, 2^257427258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257427258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292738320).

257427258 is an abundant number, since it is smaller than the sum of its proper divisors (328049382).

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

257427258 is a wasteful number, since it uses less digits than its factorization.

257427258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283 (or 12272 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 257427258 is about 16044.5398188917. The cubic root of 257427258 is about 636.1382506702.

The spelling of 257427258 in words is "two hundred fifty-seven million, four hundred twenty-seven thousand, two hundred fifty-eight".