257798112 has 192 divisors, whose sum is σ = 807770880. Its totient is φ = 70963200.

The previous prime is 257798071. The next prime is 257798131. The reversal of 257798112 is 211897752.

It is a congruent number.

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, 1221687 + ... + 1221897.

It is an arithmetic number, because the mean of its divisors is an integer number (4207140).

Almost surely, 2^257798112 is an apocalyptic number.

257798112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257798112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403885440).

257798112 is an abundant number, since it is smaller than the sum of its proper divisors (549972768).

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

257798112 is a wasteful number, since it uses less digits than its factorization.

257798112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 70560, while the sum is 42.

The square root of 257798112 is about 16056.0926753678. The cubic root of 257798112 is about 636.4435812191.

The spelling of 257798112 in words is "two hundred fifty-seven million, seven hundred ninety-eight thousand, one hundred twelve".