257460608 has 64 divisors (see below), whose sum is σ = 543272400. Its totient is φ = 121325568.

The previous prime is 257460589. The next prime is 257460617. The reversal of 257460608 is 806064752.

It is a happy number.

257460608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 158810 + ... + 160422.

Almost surely, 2^257460608 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 257460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271636200).

257460608 is an abundant number, since it is smaller than the sum of its proper divisors (285811792).

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

257460608 is a wasteful number, since it uses less digits than its factorization.

257460608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 257460608 is about 16045.5790796094. The cubic root of 257460608 is about 636.1657203002.

The spelling of 257460608 in words is "two hundred fifty-seven million, four hundred sixty thousand, six hundred eight".