257434497 has 16 divisors (see below), whose sum is σ = 382752960. Its totient is φ = 171007200.

The previous prime is 257434487. The next prime is 257434501. The reversal of 257434497 is 794434752.

257434497 is a `hidden beast` number, since 2 + 574 + 34 + 49 + 7 = 666.

It is not a de Polignac number, because 257434497 - 2⁴ = 257434481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257434487) 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, 9379 + ... + 24552.

It is an arithmetic number, because the mean of its divisors is an integer number (23922060).

Almost surely, 2^257434497 is an apocalyptic number.

257434497 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257434497 is a deficient number, since it is larger than the sum of its proper divisors (125318463).

257434497 is a wasteful number, since it uses less digits than its factorization.

257434497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34221 (or 34215 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 257434497 is about 16044.7654080700. The cubic root of 257434497 is about 636.1442134700.

The spelling of 257434497 in words is "two hundred fifty-seven million, four hundred thirty-four thousand, four hundred ninety-seven".