257794947 has 32 divisors (see below), whose sum is σ = 394421760. Its totient is φ = 166289760.

The previous prime is 257794937. The next prime is 257794951. The reversal of 257794947 is 749497752.

It is not a de Polignac number, because 257794947 - 2⁴ = 257794931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257794893 and 257794902.

It is not an unprimeable number, because it can be changed into a prime (257794937) 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, 210178 + ... + 211400.

It is an arithmetic number, because the mean of its divisors is an integer number (12325680).

Almost surely, 2^257794947 is an apocalyptic number.

257794947 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

257794947 is a deficient number, since it is larger than the sum of its proper divisors (136626813).

257794947 is a wasteful number, since it uses less digits than its factorization.

257794947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 257794947 is about 16055.9941143487. The cubic root of 257794947 is about 636.4409766588.

The spelling of 257794947 in words is "two hundred fifty-seven million, seven hundred ninety-four thousand, nine hundred forty-seven".