268915280 has 80 divisors (see below), whose sum is σ = 638798400. Its totient is φ = 105262080.

The previous prime is 268915279. The next prime is 268915301. The reversal of 268915280 is 82519862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274375 + ... + 1274585.

It is an arithmetic number, because the mean of its divisors is an integer number (7984980).

Almost surely, 2^268915280 is an apocalyptic number.

268915280 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 268915280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319399200).

268915280 is an abundant number, since it is smaller than the sum of its proper divisors (369883120).

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

268915280 is a wasteful number, since it uses less digits than its factorization.

268915280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 268915280 is about 16398.6365286874. The cubic root of 268915280 is about 645.4637051714.

The spelling of 268915280 in words is "two hundred sixty-eight million, nine hundred fifteen thousand, two hundred eighty".