257626128 has 40 divisors (see below), whose sum is σ = 694473408. Its totient is φ = 82141312.

The previous prime is 257626097. The next prime is 257626157. The reversal of 257626128 is 821626752.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115575 + ... + 117782.

Almost surely, 2^257626128 is an apocalyptic number.

It is an amenable number.

257626128 is an abundant number, since it is smaller than the sum of its proper divisors (436847280).

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

257626128 is a wasteful number, since it uses less digits than its factorization.

257626128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233391 (or 233385 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 257626128 is about 16050.7360578884. The cubic root of 257626128 is about 636.3020202358.

The spelling of 257626128 in words is "two hundred fifty-seven million, six hundred twenty-six thousand, one hundred twenty-eight".