257089792 has 36 divisors (see below), whose sum is σ = 514444140. Its totient is φ = 128227328.

The previous prime is 257089771. The next prime is 257089799. The reversal of 257089792 is 297980752.

It can be written as a sum of positive squares in 2 ways, for example, as 133079296 + 124010496 = 11536^2 + 11136^2 .

It is a super-2 number, since 2×257089792² = 132190322301206528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257089799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129318 + ... + 131290.

It is an arithmetic number, because the mean of its divisors is an integer number (14290115).

Almost surely, 2^257089792 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 257089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257222070).

257089792 is an abundant number, since it is smaller than the sum of its proper divisors (257354348).

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

257089792 is an equidigital number, since it uses as much as digits as its factorization.

257089792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The square root of 257089792 is about 16034.0198328429. The cubic root of 257089792 is about 635.8601541080.

The spelling of 257089792 in words is "two hundred fifty-seven million, eighty-nine thousand, seven hundred ninety-two".