268733440 has 88 divisors (see below), whose sum is σ = 654384960. Its totient is φ = 105873408.

The previous prime is 268733429. The next prime is 268733471. The reversal of 268733440 is 44337862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268733440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373401 + ... + 374119.

Almost surely, 2^268733440 is an apocalyptic number.

268733440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327192480).

268733440 is an abundant number, since it is smaller than the sum of its proper divisors (385651520).

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

268733440 is an equidigital number, since it uses as much as digits as its factorization.

268733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 268733440 is about 16393.0912277093. The cubic root of 268733440 is about 645.3181852571.

The spelling of 268733440 in words is "two hundred sixty-eight million, seven hundred thirty-three thousand, four hundred forty".