257084491 has 8 divisors (see below), whose sum is σ = 260689968. Its totient is φ = 253500000.

The previous prime is 257084483. The next prime is 257084521. The reversal of 257084491 is 194480752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 6-Lehmer number, since φ(257084491) divides (257084491-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 257084491 - 2³ = 257084483 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257084431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20281 + ... + 30421.

It is an arithmetic number, because the mean of its divisors is an integer number (32586246).

Almost surely, 2^257084491 is an apocalyptic number.

257084491 is the 10141-st heptagonal number.

257084491 is a deficient number, since it is larger than the sum of its proper divisors (3605477).

257084491 is a wasteful number, since it uses less digits than its factorization.

257084491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 257084491 is about 16033.8545272183. The cubic root of 257084491 is about 635.8557837571.

The spelling of 257084491 in words is "two hundred fifty-seven million, eighty-four thousand, four hundred ninety-one".