257248368 has 120 divisors (see below), whose sum is σ = 781981200. Its totient is φ = 78474240.

The previous prime is 257248363. The next prime is 257248441. The reversal of 257248368 is 863842752.

257248368 is a `hidden beast` number, since 2 + 572 + 48 + 36 + 8 = 666.

257248368 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257248361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244708 + ... + 245756.

It is an arithmetic number, because the mean of its divisors is an integer number (6516510).

Almost surely, 2^257248368 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 257248368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390990600).

257248368 is an abundant number, since it is smaller than the sum of its proper divisors (524732832).

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

257248368 is a wasteful number, since it uses less digits than its factorization.

257248368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 257248368 is about 16038.9640563223. The cubic root of 257248368 is about 635.9908625719.

The spelling of 257248368 in words is "two hundred fifty-seven million, two hundred forty-eight thousand, three hundred sixty-eight".