257620491 has 12 divisors (see below), whose sum is σ = 378426360. Its totient is φ = 168835680.

The previous prime is 257620483. The next prime is 257620537. The reversal of 257620491 is 194026752.

257620491 is a `hidden beast` number, since 25 + 7 + 620 + 4 + 9 + 1 = 666.

It is not a de Polignac number, because 257620491 - 2³ = 257620483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257620471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242050 + ... + 243111.

It is an arithmetic number, because the mean of its divisors is an integer number (31535530).

Almost surely, 2^257620491 is an apocalyptic number.

257620491 is a deficient number, since it is larger than the sum of its proper divisors (120805869).

257620491 is a wasteful number, since it uses less digits than its factorization.

257620491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485226 (or 485223 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 257620491 is about 16050.5604575043. The cubic root of 257620491 is about 636.2973793237.

The spelling of 257620491 in words is "two hundred fifty-seven million, six hundred twenty thousand, four hundred ninety-one".