257634945 has 16 divisors (see below), whose sum is σ = 458017920. Its totient is φ = 137405232.

The previous prime is 257634943. The next prime is 257634953. The reversal of 257634945 is 549436752.

257634945 is a `hidden beast` number, since 2 + 5 + 7 + 634 + 9 + 4 + 5 = 666.

257634945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257634945 - 2¹ = 257634943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 257634945.

It is not an unprimeable number, because it can be changed into a prime (257634943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954069 + ... + 954338.

It is an arithmetic number, because the mean of its divisors is an integer number (28626120).

Almost surely, 2^257634945 is an apocalyptic number.

It is an amenable number.

257634945 is a deficient number, since it is larger than the sum of its proper divisors (200382975).

257634945 is a wasteful number, since it uses less digits than its factorization.

257634945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908421 (or 1908415 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 257634945 is about 16051.0107158397. The cubic root of 257634945 is about 636.3092790892.

The spelling of 257634945 in words is "two hundred fifty-seven million, six hundred thirty-four thousand, nine hundred forty-five".