257460368 has 40 divisors (see below), whose sum is σ = 551095680. Its totient is φ = 115539840.

The previous prime is 257460353. The next prime is 257460377. The reversal of 257460368 is 863064752.

It is a happy number.

257460368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 4646 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (13777392).

Almost surely, 2^257460368 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 257460368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275547840).

257460368 is an abundant number, since it is smaller than the sum of its proper divisors (293635312).

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

257460368 is a wasteful number, since it uses less digits than its factorization.

257460368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18615 (or 18609 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 257460368 is about 16045.5716009122. The cubic root of 257460368 is about 636.1655226262.

The spelling of 257460368 in words is "two hundred fifty-seven million, four hundred sixty thousand, three hundred sixty-eight".