268788441 has 16 divisors (see below), whose sum is σ = 369388800. Its totient is φ = 173760768.

The previous prime is 268788431. The next prime is 268788473. The reversal of 268788441 is 144887862.

It is not a de Polignac number, because 268788441 - 2⁹ = 268787929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268788431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6625 + ... + 24113.

It is an arithmetic number, because the mean of its divisors is an integer number (23086800).

Almost surely, 2^268788441 is an apocalyptic number.

It is an amenable number.

268788441 is a deficient number, since it is larger than the sum of its proper divisors (100600359).

268788441 is a wasteful number, since it uses less digits than its factorization.

268788441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17648.

The product of its digits is 688128, while the sum is 48.

The square root of 268788441 is about 16394.7687083411. The cubic root of 268788441 is about 645.3622074728.

The spelling of 268788441 in words is "two hundred sixty-eight million, seven hundred eighty-eight thousand, four hundred forty-one".