257896332 has 96 divisors (see below), whose sum is σ = 712857600. Its totient is φ = 80478288.

The previous prime is 257896321. The next prime is 257896343. The reversal of 257896332 is 233698752.

257896332 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 9 + 633 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (257896321) and next prime (257896343).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5487133 + ... + 5487179.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2^257896332 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 257896332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

257896332 is an abundant number, since it is smaller than the sum of its proper divisors (454961268).

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

257896332 is an equidigital number, since it uses as much as digits as its factorization.

257896332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 75 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 257896332 is about 16059.1510360915. The cubic root of 257896332 is about 636.5243984018.

The spelling of 257896332 in words is "two hundred fifty-seven million, eight hundred ninety-six thousand, three hundred thirty-two".