257323248 has 240 divisors, whose sum is σ = 901817280. Its totient is φ = 66686976.

The previous prime is 257323229. The next prime is 257323259. The reversal of 257323248 is 842323752.

257323248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257323248² = 132430507922539008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956458 + ... + 956726.

It is an arithmetic number, because the mean of its divisors is an integer number (3757572).

Almost surely, 2^257323248 is an apocalyptic number.

257323248 is a gapful number since it is divisible by the number (28) 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 257323248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450908640).

257323248 is an abundant number, since it is smaller than the sum of its proper divisors (644494032).

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

257323248 is a wasteful number, since it uses less digits than its factorization.

257323248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 257323248 is about 16041.2982018289. The cubic root of 257323248 is about 636.0525647785.

The spelling of 257323248 in words is "two hundred fifty-seven million, three hundred twenty-three thousand, two hundred forty-eight".