257438007 has 20 divisors (see below), whose sum is σ = 385749936. Its totient is φ = 171097920.

The previous prime is 257437969. The next prime is 257438009. The reversal of 257438007 is 700834752.

257438007 is a `hidden beast` number, since 2 + 574 + 3 + 80 + 0 + 7 = 666.

It is not a de Polignac number, because 257438007 - 2¹⁴ = 257421623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257438009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22582 + ... + 32012.

Almost surely, 2^257438007 is an apocalyptic number.

257438007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257438007 is a deficient number, since it is larger than the sum of its proper divisors (128311929).

257438007 is an equidigital number, since it uses as much as digits as its factorization.

257438007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 257438007 is about 16044.8747891655. The cubic root of 257438007 is about 636.1471046340.

The spelling of 257438007 in words is "two hundred fifty-seven million, four hundred thirty-eight thousand, seven".