257865432 has 64 divisors (see below), whose sum is σ = 722304000. Its totient is φ = 76026240.

The previous prime is 257865407. The next prime is 257865467. The reversal of 257865432 is 234568752.

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, 3432 + ... + 22967.

It is an arithmetic number, because the mean of its divisors is an integer number (11286000).

Almost surely, 2^257865432 is an apocalyptic number.

257865432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257865432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361152000).

257865432 is an abundant number, since it is smaller than the sum of its proper divisors (464438568).

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

257865432 is a wasteful number, since it uses less digits than its factorization.

257865432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26456 (or 26452 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 257865432 is about 16058.1889389806. The cubic root of 257865432 is about 636.4989755386.

The spelling of 257865432 in words is "two hundred fifty-seven million, eight hundred sixty-five thousand, four hundred thirty-two".