257657484 has 96 divisors (see below), whose sum is σ = 713664000. Its totient is φ = 72300480.

The previous prime is 257657479. The next prime is 257657497. The reversal of 257657484 is 484756752.

It is a super-2 number, since 2×257657484² = 132774758122420512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242314 + ... + 243374.

It is an arithmetic number, because the mean of its divisors is an integer number (7434000).

Almost surely, 2^257657484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257657484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356832000).

257657484 is an abundant number, since it is smaller than the sum of its proper divisors (456006516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257657484 is a wasteful number, since it uses less digits than its factorization.

257657484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1132 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The square root of 257657484 is about 16051.7128058036. The cubic root of 257657484 is about 636.3278342282.

The spelling of 257657484 in words is "two hundred fifty-seven million, six hundred fifty-seven thousand, four hundred eighty-four".