268431361 has 12 divisors (see below), whose sum is σ = 297224676. Its totient is φ = 242232320.

The previous prime is 268431353. The next prime is 268431407. The reversal of 268431361 is 163134862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 225450225 + 42981136 = 15015^2 + 6556^2 .

It is not a de Polignac number, because 268431361 - 2³ = 268431353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268431311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8481 + ... + 24673.

It is an arithmetic number, because the mean of its divisors is an integer number (24768723).

Almost surely, 2^268431361 is an apocalyptic number.

It is an amenable number.

268431361 is a deficient number, since it is larger than the sum of its proper divisors (28793315).

268431361 is a wasteful number, since it uses less digits than its factorization.

268431361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16352 (or 16341 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 268431361 is about 16383.8750300410. The cubic root of 268431361 is about 645.0762972861.

The spelling of 268431361 in words is "two hundred sixty-eight million, four hundred thirty-one thousand, three hundred sixty-one".