257785416 has 160 divisors (see below), whose sum is σ = 873987840. Its totient is φ = 69299712.

The previous prime is 257785391. The next prime is 257785469. The reversal of 257785416 is 614587752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75441 + ... + 78783.

It is an arithmetic number, because the mean of its divisors is an integer number (5462424).

Almost surely, 2^257785416 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 257785416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436993920).

257785416 is an abundant number, since it is smaller than the sum of its proper divisors (616202424).

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

257785416 is a wasteful number, since it uses less digits than its factorization.

257785416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3372 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 257785416 is about 16055.6973065638. The cubic root of 257785416 is about 636.4331332239.

The spelling of 257785416 in words is "two hundred fifty-seven million, seven hundred eighty-five thousand, four hundred sixteen".