257987772 has 72 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 72772128.

The previous prime is 257987759. The next prime is 257987777. The reversal of 257987772 is 277789752.

257987772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257987777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13429 + ... + 26387.

It is an arithmetic number, because the mean of its divisors is an integer number (10483200).

Almost surely, 2^257987772 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 257987772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

257987772 is an abundant number, since it is smaller than the sum of its proper divisors (496802628).

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

257987772 is a wasteful number, since it uses less digits than its factorization.

257987772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13055 (or 13050 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 54.

The square root of 257987772 is about 16061.9977586849. The cubic root of 257987772 is about 636.5996184369.

The spelling of 257987772 in words is "two hundred fifty-seven million, nine hundred eighty-seven thousand, seven hundred seventy-two".