257095872 has 84 divisors (see below), whose sum is σ = 803931336. Its totient is φ = 77905920.

The previous prime is 257095849. The next prime is 257095877. The reversal of 257095872 is 278590752.

It is a happy number.

257095872 is a `hidden beast` number, since 2 + 570 + 9 + 5 + 8 + 72 = 666.

257095872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257095877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13953 + ... + 26624.

Almost surely, 2^257095872 is an apocalyptic number.

257095872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257095872 is an abundant number, since it is smaller than the sum of its proper divisors (546835464).

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

257095872 is a wasteful number, since it uses less digits than its factorization.

257095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40606 (or 40593 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 257095872 is about 16034.2094285936. The cubic root of 257095872 is about 635.8651666229.

The spelling of 257095872 in words is "two hundred fifty-seven million, ninety-five thousand, eight hundred seventy-two".