268411 has 8 divisors (see below), whose sum is σ = 315504. Its totient is φ = 225120.

The previous prime is 268403. The next prime is 268439. The reversal of 268411 is 114862.

268411 = 209² + 210² + ... + 214².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268411 - 2³ = 268403 is a prime.

It is a Duffinian number.

268411 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268411.

It is not an unprimeable number, because it can be changed into a prime (268211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (39438).

2²⁶⁸⁴¹¹ is an apocalyptic number.

268411 is a deficient number, since it is larger than the sum of its proper divisors (47093).

268411 is a wasteful number, since it uses less digits than its factorization.

268411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901.

The product of its digits is 384, while the sum is 22.

The square root of 268411 is about 518.0839700280. The cubic root of 268411 is about 64.5059986809.

The spelling of 268411 in words is "two hundred sixty-eight thousand, four hundred eleven".