257747672 has 64 divisors (see below), whose sum is σ = 596843520. Its totient is φ = 101616768.

The previous prime is 257747653. The next prime is 257747723. The reversal of 257747672 is 276747752.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 354173 + ... + 354899.

It is an arithmetic number, because the mean of its divisors is an integer number (9325680).

Almost surely, 2^257747672 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 257747672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298421760).

257747672 is an abundant number, since it is smaller than the sum of its proper divisors (339095848).

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

257747672 is a wasteful number, since it uses less digits than its factorization.

257747672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1236 counting only the distinct ones).

The product of its digits is 1152480, while the sum is 47.

The square root of 257747672 is about 16054.5218552282. The cubic root of 257747672 is about 636.4020703021.

The spelling of 257747672 in words is "two hundred fifty-seven million, seven hundred forty-seven thousand, six hundred seventy-two".