268819488 has 216 divisors, whose sum is σ = 911999088. Its totient is φ = 74850048.

The previous prime is 268819457. The next prime is 268819489. The reversal of 268819488 is 884918862.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (268819489) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606595 + ... + 607037.

It is an arithmetic number, because the mean of its divisors is an integer number (4222218).

Almost surely, 2^268819488 is an apocalyptic number.

268819488 is a gapful number since it is divisible by the number (28) 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 268819488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455999544).

268819488 is an abundant number, since it is smaller than the sum of its proper divisors (643179600).

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

268819488 is a wasteful number, since it uses less digits than its factorization.

268819488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 268819488 is about 16395.7155379081. The cubic root of 268819488 is about 645.3870545098.

The spelling of 268819488 in words is "two hundred sixty-eight million, eight hundred nineteen thousand, four hundred eighty-eight".