257981630 has 64 divisors (see below), whose sum is σ = 507384000. Its totient is φ = 94403584.

The previous prime is 257981629. The next prime is 257981671. The reversal of 257981630 is 36189752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898626 + ... + 2898714.

It is an arithmetic number, because the mean of its divisors is an integer number (7927875).

Almost surely, 2^257981630 is an apocalyptic number.

257981630 is a deficient number, since it is larger than the sum of its proper divisors (249402370).

257981630 is an equidigital number, since it uses as much as digits as its factorization.

257981630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 257981630 is about 16061.8065609072. The cubic root of 257981630 is about 636.5945664844.

The spelling of 257981630 in words is "two hundred fifty-seven million, nine hundred eighty-one thousand, six hundred thirty".