257414731 has 16 divisors (see below), whose sum is σ = 321546240. Its totient is φ = 200960640.

The previous prime is 257414719. The next prime is 257414741. The reversal of 257414731 is 137414752.

It is a cyclic number.

It is not a de Polignac number, because 257414731 - 2¹⁵ = 257381963 is a prime.

It is a super-2 number, since 2×257414731² = 132524687471604722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257414741) 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, 31201 + ... + 38578.

It is an arithmetic number, because the mean of its divisors is an integer number (20096640).

Almost surely, 2^257414731 is an apocalyptic number.

257414731 is a deficient number, since it is larger than the sum of its proper divisors (64131509).

257414731 is a wasteful number, since it uses less digits than its factorization.

257414731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69834.

The product of its digits is 23520, while the sum is 34.

The square root of 257414731 is about 16044.1494321139. The cubic root of 257414731 is about 636.1279318547.

The spelling of 257414731 in words is "two hundred fifty-seven million, four hundred fourteen thousand, seven hundred thirty-one".