257461350 has 48 divisors (see below), whose sum is σ = 640673280. Its totient is φ = 68423200.

The previous prime is 257461349. The next prime is 257461387. The reversal of 257461350 is 53164752.

257461350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43891 + ... + 49409.

It is an arithmetic number, because the mean of its divisors is an integer number (13347360).

Almost surely, 2^257461350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257461350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320336640).

257461350 is an abundant number, since it is smaller than the sum of its proper divisors (383211930).

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

257461350 is a wasteful number, since it uses less digits than its factorization.

257461350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 257461350 is about 16045.6022012264. The cubic root of 257461350 is about 636.1663314416.

The spelling of 257461350 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, three hundred fifty".