257566848 has 256 divisors, whose sum is σ = 883630080. Its totient is φ = 64512000.

The previous prime is 257566823. The next prime is 257566853. The reversal of 257566848 is 848665752.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 257566848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916468 + ... + 916748.

It is an arithmetic number, because the mean of its divisors is an integer number (3451680).

Almost surely, 2^257566848 is an apocalyptic number.

257566848 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 257566848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441815040).

257566848 is an abundant number, since it is smaller than the sum of its proper divisors (626063232).

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

257566848 is a wasteful number, since it uses less digits than its factorization.

257566848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 257566848 is about 16048.8893073633. The cubic root of 257566848 is about 636.2532119394.

The spelling of 257566848 in words is "two hundred fifty-seven million, five hundred sixty-six thousand, eight hundred forty-eight".