257894416 has 20 divisors (see below), whose sum is σ = 538107052. Its totient is φ = 119028096.

The previous prime is 257894401. The next prime is 257894459. The reversal of 257894416 is 614498752.

It can be written as a sum of positive squares in 2 ways, for example, as 149817600 + 108076816 = 12240^2 + 10396^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 619731 + ... + 620146.

Almost surely, 2^257894416 is an apocalyptic number.

257894416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257894416 is an abundant number, since it is smaller than the sum of its proper divisors (280212636).

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

257894416 is a wasteful number, since it uses less digits than its factorization.

257894416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239898 (or 1239892 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The square root of 257894416 is about 16059.0913815197. The cubic root of 257894416 is about 636.5228220788.

The spelling of 257894416 in words is "two hundred fifty-seven million, eight hundred ninety-four thousand, four hundred sixteen".