268559280 has 320 divisors, whose sum is σ = 1028505600. Its totient is φ = 63866880.

The previous prime is 268559267. The next prime is 268559299. The reversal of 268559280 is 82955862.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2114577 + ... + 2114703.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^268559280 is an apocalyptic number.

268559280 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 268559280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514252800).

268559280 is an abundant number, since it is smaller than the sum of its proper divisors (759946320).

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

268559280 is a wasteful number, since it uses less digits than its factorization.

268559280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 268559280 is about 16387.7783729217. The cubic root of 268559280 is about 645.1787498092.

The spelling of 268559280 in words is "two hundred sixty-eight million, five hundred fifty-nine thousand, two hundred eighty".