257395941 has 16 divisors (see below), whose sum is σ = 415993920. Its totient is φ = 155997360.

The previous prime is 257395933. The next prime is 257395961. The reversal of 257395941 is 149593752.

It is a happy number.

257395941 is a `hidden beast` number, since 2 + 57 + 3 + 9 + 594 + 1 = 666.

It is not a de Polignac number, because 257395941 - 2³ = 257395933 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257395961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 433030 + ... + 433623.

It is an arithmetic number, because the mean of its divisors is an integer number (25999620).

Almost surely, 2^257395941 is an apocalyptic number.

It is an amenable number.

257395941 is a deficient number, since it is larger than the sum of its proper divisors (158597979).

257395941 is a wasteful number, since it uses less digits than its factorization.

257395941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866673 (or 866667 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 257395941 is about 16043.5638497187. The cubic root of 257395941 is about 636.1124534156.

The spelling of 257395941 in words is "two hundred fifty-seven million, three hundred ninety-five thousand, nine hundred forty-one".