257089952 has 96 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 104341248.

The previous prime is 257089951. The next prime is 257089993. The reversal of 257089952 is 259980752.

It is a junction number, because it is equal to n+sod(n) for n = 257089897 and 257089906.

It is not an unprimeable number, because it can be changed into a prime (257089951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715949 + ... + 716307.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^257089952 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 257089952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

257089952 is an abundant number, since it is smaller than the sum of its proper divisors (352548448).

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

257089952 is a wasteful number, since it uses less digits than its factorization.

257089952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 47.

The square root of 257089952 is about 16034.0248222335. The cubic root of 257089952 is about 635.8602860173.

The spelling of 257089952 in words is "two hundred fifty-seven million, eighty-nine thousand, nine hundred fifty-two".