257809242 has 16 divisors (see below), whose sum is σ = 515938752. Its totient is φ = 85883040.

The previous prime is 257809183. The next prime is 257809247. The reversal of 257809242 is 242908752.

257809242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257809242² = 132931210521229128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257809242.

It is not an unprimeable number, because it can be changed into a prime (257809247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158 + ... + 22809.

It is an arithmetic number, because the mean of its divisors is an integer number (32246172).

Almost surely, 2^257809242 is an apocalyptic number.

257809242 is an abundant number, since it is smaller than the sum of its proper divisors (258129510).

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

257809242 is a wasteful number, since it uses less digits than its factorization.

257809242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26693.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 257809242 is about 16056.4392690285. The cubic root of 257809242 is about 636.4527402145.

The spelling of 257809242 in words is "two hundred fifty-seven million, eight hundred nine thousand, two hundred forty-two".