257890248 has 192 divisors, whose sum is σ = 879016320. Its totient is φ = 66355200.

The previous prime is 257890231. The next prime is 257890253. The reversal of 257890248 is 842098752.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003336 + ... + 1003592.

It is an arithmetic number, because the mean of its divisors is an integer number (4578210).

Almost surely, 2^257890248 is an apocalyptic number.

257890248 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 257890248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439508160).

257890248 is an abundant number, since it is smaller than the sum of its proper divisors (621126072).

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

257890248 is a wasteful number, since it uses less digits than its factorization.

257890248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 257890248 is about 16058.9616102661. The cubic root of 257890248 is about 636.5193929734.

The spelling of 257890248 in words is "two hundred fifty-seven million, eight hundred ninety thousand, two hundred forty-eight".