257305248 has 120 divisors (see below), whose sum is σ = 771417108. Its totient is φ = 84105216.

The previous prime is 257305247. The next prime is 257305267. The reversal of 257305248 is 842503752.

It can be written as a sum of positive squares in 2 ways, for example, as 247495824 + 9809424 = 15732^2 + 3132^2 .

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

It is not an unprimeable number, because it can be changed into a prime (257305247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136440 + ... + 138312.

Almost surely, 2^257305248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257305248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385708554).

257305248 is an abundant number, since it is smaller than the sum of its proper divisors (514111860).

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

257305248 is a wasteful number, since it uses less digits than its factorization.

257305248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 257305248 is about 16040.7371401691. The cubic root of 257305248 is about 636.0377336103.

The spelling of 257305248 in words is "two hundred fifty-seven million, three hundred five thousand, two hundred forty-eight".