257926032 has 240 divisors, whose sum is σ = 922579840. Its totient is φ = 68024448.

The previous prime is 257926013. The next prime is 257926043. The reversal of 257926032 is 230629752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19840458 + ... + 19840470.

Almost surely, 2^257926032 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 257926032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461289920).

257926032 is an abundant number, since it is smaller than the sum of its proper divisors (664653808).

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

257926032 is an frugal number, since it uses more digits than its factorization.

257926032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 257926032 is about 16060.0757158863. The cubic root of 257926032 is about 636.5488320555.

The spelling of 257926032 in words is "two hundred fifty-seven million, nine hundred twenty-six thousand, thirty-two".