268400979 has 48 divisors (see below), whose sum is σ = 504627840. Its totient is φ = 139421520.

The previous prime is 268400963. The next prime is 268400989. The reversal of 268400979 is 979004862.

It is a happy number.

It is not a de Polignac number, because 268400979 - 2⁴ = 268400963 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (268400959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5332 + ... + 23774.

It is an arithmetic number, because the mean of its divisors is an integer number (10513080).

Almost surely, 2^268400979 is an apocalyptic number.

268400979 is a deficient number, since it is larger than the sum of its proper divisors (236226861).

268400979 is a wasteful number, since it uses less digits than its factorization.

268400979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18464 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 268400979 is about 16382.9478116730. The cubic root of 268400979 is about 645.0519590376.

The spelling of 268400979 in words is "two hundred sixty-eight million, four hundred thousand, nine hundred seventy-nine".