257130832 has 60 divisors (see below), whose sum is σ = 583498740. Its totient is φ = 109444608.

The previous prime is 257130829. The next prime is 257130851. The reversal of 257130832 is 238031752.

It can be written as a sum of positive squares in 2 ways, for example, as 156650256 + 100480576 = 12516^2 + 10024^2 .

It is a super-2 number, since 2×257130832² = 132232529530024448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257130794 and 257130803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122044 + ... + 124132.

It is an arithmetic number, because the mean of its divisors is an integer number (9724979).

Almost surely, 2^257130832 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 257130832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291749370).

257130832 is an abundant number, since it is smaller than the sum of its proper divisors (326367908).

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

257130832 is a wasteful number, since it uses less digits than its factorization.

257130832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 257130832 is about 16035.2995606568. The cubic root of 257130832 is about 635.8939870503.

The spelling of 257130832 in words is "two hundred fifty-seven million, one hundred thirty thousand, eight hundred thirty-two".