268388280 has 96 divisors (see below), whose sum is σ = 883396800. Its totient is φ = 70656768.

The previous prime is 268388279. The next prime is 268388317. The reversal of 268388280 is 82883862.

268388280 is a `hidden beast` number, since 268 + 388 + 2 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 23722 + ... + 33158.

It is an arithmetic number, because the mean of its divisors is an integer number (9202050).

Almost surely, 2^268388280 is an apocalyptic number.

268388280 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 268388280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441698400).

268388280 is an abundant number, since it is smaller than the sum of its proper divisors (615008520).

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

268388280 is a wasteful number, since it uses less digits than its factorization.

268388280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 268388280 is about 16382.5602394742. The cubic root of 268388280 is about 645.0417856470.

The spelling of 268388280 in words is "two hundred sixty-eight million, three hundred eighty-eight thousand, two hundred eighty".