257974272 has 84 divisors (see below), whose sum is σ = 745426500. Its totient is φ = 85966848.

The previous prime is 257974253. The next prime is 257974273. The reversal of 257974272 is 272479752.

257974272 is a `hidden beast` number, since 2 + 579 + 7 + 4 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257974273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71979 + ... + 75477.

It is an arithmetic number, because the mean of its divisors is an integer number (8874125).

Almost surely, 2^257974272 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 257974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372713250).

257974272 is an abundant number, since it is smaller than the sum of its proper divisors (487452228).

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

257974272 is an equidigital number, since it uses as much as digits as its factorization.

257974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531 (or 3504 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 257974272 is about 16061.5775065838. The cubic root of 257974272 is about 636.5885142352.

The spelling of 257974272 in words is "two hundred fifty-seven million, nine hundred seventy-four thousand, two hundred seventy-two".