257649249 has 32 divisors (see below), whose sum is σ = 413005824. Its totient is φ = 140777280.

The previous prime is 257649233. The next prime is 257649251. The reversal of 257649249 is 942946752.

It is not a de Polignac number, because 257649249 - 2⁴ = 257649233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257649198 and 257649207.

It is not an unprimeable number, because it can be changed into a prime (257649269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11464 + ... + 25430.

It is an arithmetic number, because the mean of its divisors is an integer number (12906432).

Almost surely, 2^257649249 is an apocalyptic number.

It is an amenable number.

257649249 is a deficient number, since it is larger than the sum of its proper divisors (155356575).

257649249 is a wasteful number, since it uses less digits than its factorization.

257649249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037.

The product of its digits is 1088640, while the sum is 48.

The square root of 257649249 is about 16051.4562890723. The cubic root of 257649249 is about 636.3210549238.

The spelling of 257649249 in words is "two hundred fifty-seven million, six hundred forty-nine thousand, two hundred forty-nine".