257998144 has 14 divisors (see below), whose sum is σ = 511965194. Its totient is φ = 128999040.

The previous prime is 257998141. The next prime is 257998157. The reversal of 257998144 is 441899752.

It can be written as a sum of positive squares in only one way, i.e., 252428544 + 5569600 = 15888^2 + 2360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257998141) by changing a digit.

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 as a sum of consecutive naturals, namely, 2015547 + ... + 2015674.

Almost surely, 2^257998144 is an apocalyptic number.

It is an amenable number.

257998144 is a deficient number, since it is larger than the sum of its proper divisors (253967050).

257998144 is an equidigital number, since it uses as much as digits as its factorization.

257998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031233 (or 4031223 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 257998144 is about 16062.3206293487. The cubic root of 257998144 is about 636.6081494908.

The spelling of 257998144 in words is "two hundred fifty-seven million, nine hundred ninety-eight thousand, one hundred forty-four".