257345790 has 64 divisors (see below), whose sum is σ = 667118592. Its totient is φ = 63158400.

The previous prime is 257345789. The next prime is 257345801. The reversal of 257345790 is 97543752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167325 + ... + 168855.

It is an arithmetic number, because the mean of its divisors is an integer number (10423728).

Almost surely, 2^257345790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257345790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333559296).

257345790 is an abundant number, since it is smaller than the sum of its proper divisors (409772802).

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

257345790 is a wasteful number, since it uses less digits than its factorization.

257345790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985.

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 257345790 is about 16042.0008103728. Note that the first 3 decimals coincide. The cubic root of 257345790 is about 636.0711373694.

The spelling of 257345790 in words is "two hundred fifty-seven million, three hundred forty-five thousand, seven hundred ninety".