268641472 has 112 divisors (see below), whose sum is σ = 621499392. Its totient is φ = 113991680.

The previous prime is 268641469. The next prime is 268641479. The reversal of 268641472 is 274146862.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (268641479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760848 + ... + 761200.

Almost surely, 2^268641472 is an apocalyptic number.

268641472 is a gapful number since it is divisible by the number (22) 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 268641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310749696).

268641472 is an abundant number, since it is smaller than the sum of its proper divisors (352857920).

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

268641472 is a wasteful number, since it uses less digits than its factorization.

268641472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 268641472 is about 16390.2859035466. The cubic root of 268641472 is about 645.2445616267.

The spelling of 268641472 in words is "two hundred sixty-eight million, six hundred forty-one thousand, four hundred seventy-two".