257904145 has 16 divisors (see below), whose sum is σ = 317837520. Its totient is φ = 200780800.

The previous prime is 257904139. The next prime is 257904173. The reversal of 257904145 is 541409752.

It can be written as a sum of positive squares in 8 ways, for example, as 5602689 + 252301456 = 2367^2 + 15884^2 .

It is not a de Polignac number, because 257904145 - 2¹¹ = 257902097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93141 + ... + 95869.

It is an arithmetic number, because the mean of its divisors is an integer number (19864845).

Almost surely, 2^257904145 is an apocalyptic number.

It is an amenable number.

257904145 is a deficient number, since it is larger than the sum of its proper divisors (59933375).

257904145 is a wasteful number, since it uses less digits than its factorization.

257904145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 257904145 is about 16059.3942911929. The cubic root of 257904145 is about 636.5308261977.

The spelling of 257904145 in words is "two hundred fifty-seven million, nine hundred four thousand, one hundred forty-five".