257792 has 36 divisors (see below), whose sum is σ = 551880. Its totient is φ = 119808.

The previous prime is 257791. The next prime is 257797. The reversal of 257792 is 297752.

257792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257792.

It is not an unprimeable number, because it can be changed into a prime (257791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4838 + ... + 4890.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2²⁵⁷⁷⁹² 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 257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275940).

257792 is an abundant number, since it is smaller than the sum of its proper divisors (294088).

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

257792 is an equidigital number, since it uses as much as digits as its factorization.

257792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 257792 is about 507.7322128839. The cubic root of 257792 is about 63.6438551477.

The spelling of 257792 in words is "two hundred fifty-seven thousand, seven hundred ninety-two".