257424057 has 24 divisors (see below), whose sum is σ = 409245408. Its totient is φ = 154627200.

The previous prime is 257424043. The next prime is 257424077. The reversal of 257424057 is 750424752.

It is a happy number.

257424057 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 257424057 - 2¹⁸ = 257161913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257424077) 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, 319 + ... + 22692.

It is an arithmetic number, because the mean of its divisors is an integer number (17051892).

Almost surely, 2^257424057 is an apocalyptic number.

It is an amenable number.

257424057 is a deficient number, since it is larger than the sum of its proper divisors (151821351).

257424057 is a wasteful number, since it uses less digits than its factorization.

257424057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23141 (or 23138 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 257424057 is about 16044.4400650194. The cubic root of 257424057 is about 636.1356139551.

The spelling of 257424057 in words is "two hundred fifty-seven million, four hundred twenty-four thousand, fifty-seven".