257096448 has 216 divisors, whose sum is σ = 892819200. Its totient is φ = 69507072.

The previous prime is 257096431. The next prime is 257096459. The reversal of 257096448 is 844690752.

It is a happy number.

257096448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306013 + ... + 306851.

Almost surely, 2^257096448 is an apocalyptic number.

257096448 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 257096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446409600).

257096448 is an abundant number, since it is smaller than the sum of its proper divisors (635722752).

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

257096448 is a wasteful number, since it uses less digits than its factorization.

257096448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 257096448 is about 16034.2273901800. The cubic root of 257096448 is about 635.8656414887.

The spelling of 257096448 in words is "two hundred fifty-seven million, ninety-six thousand, four hundred forty-eight".