257987844 has 27 divisors (see below), whose sum is σ = 652379637. Its totient is φ = 85963824.

The previous prime is 257987837. The next prime is 257987861. The reversal of 257987844 is 448789752.

It is a happy number.

The square root of 257987844 is 16062.

It is a perfect power (a square), and thus also a powerful number.

257987844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4796100 + 253191744 = 2190^2 + 15912^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 8 ways as a sum of consecutive naturals, for example, 95034 + ... + 97710.

Almost surely, 2^257987844 is an apocalyptic number.

257987844 is the 16062-nd square number.

It is an amenable number.

257987844 is an abundant number, since it is smaller than the sum of its proper divisors (394391793).

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

257987844 is an equidigital number, since it uses as much as digits as its factorization.

257987844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 2682 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The cubic root of 257987844 is about 636.5996776583.

The spelling of 257987844 in words is "two hundred fifty-seven million, nine hundred eighty-seven thousand, eight hundred forty-four".