257662272 has 112 divisors (see below), whose sum is σ = 795893760. Its totient is φ = 72033792.

The previous prime is 257662271. The next prime is 257662291. The reversal of 257662272 is 272266752.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 257662272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257662271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61129 + ... + 65207.

Almost surely, 2^257662272 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 257662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397946880).

257662272 is an abundant number, since it is smaller than the sum of its proper divisors (538231488).

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

257662272 is a wasteful number, since it uses less digits than its factorization.

257662272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4138 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 257662272 is about 16051.8619480732. The cubic root of 257662272 is about 636.3317757902.

The spelling of 257662272 in words is "two hundred fifty-seven million, six hundred sixty-two thousand, two hundred seventy-two".