257001248 has 48 divisors (see below), whose sum is σ = 598207680. Its totient is φ = 106342656.

The previous prime is 257001229. The next prime is 257001259. The reversal of 257001248 is 842100752.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 257001248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13286 + ... + 26277.

It is an arithmetic number, because the mean of its divisors is an integer number (12462660).

Almost surely, 2^257001248 is an apocalyptic number.

257001248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

257001248 is an abundant number, since it is smaller than the sum of its proper divisors (341206432).

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

257001248 is a wasteful number, since it uses less digits than its factorization.

257001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39609 (or 39601 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 257001248 is about 16031.2584658847. The cubic root of 257001248 is about 635.7871471041.

The spelling of 257001248 in words is "two hundred fifty-seven million, one thousand, two hundred forty-eight".