257730972 has 48 divisors (see below), whose sum is σ = 637929600. Its totient is φ = 80758080.

The previous prime is 257730947. The next prime is 257730983. The reversal of 257730972 is 279037752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25554 + ... + 34182.

It is an arithmetic number, because the mean of its divisors is an integer number (13290200).

Almost surely, 2^257730972 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 257730972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318964800).

257730972 is an abundant number, since it is smaller than the sum of its proper divisors (380198628).

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

257730972 is a wasteful number, since it uses less digits than its factorization.

257730972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 42.

The square root of 257730972 is about 16054.0017441135. The cubic root of 257730972 is about 636.3883254070.

Subtracting from 257730972 its product of nonzero digits (185220), we obtain a palindrome (257545752).

The spelling of 257730972 in words is "two hundred fifty-seven million, seven hundred thirty thousand, nine hundred seventy-two".