257892096 has 288 divisors, whose sum is σ = 883008000. Its totient is φ = 66232320.

The previous prime is 257892071. The next prime is 257892097. The reversal of 257892096 is 690298752.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257892097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2897620 + ... + 2897708.

It is an arithmetic number, because the mean of its divisors is an integer number (3066000).

Almost surely, 2^257892096 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 257892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441504000).

257892096 is an abundant number, since it is smaller than the sum of its proper divisors (625115904).

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

257892096 is an equidigital number, since it uses as much as digits as its factorization.

257892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 257892096 is about 16059.0191481298. The cubic root of 257892096 is about 636.5209133683.

The spelling of 257892096 in words is "two hundred fifty-seven million, eight hundred ninety-two thousand, ninety-six".