268865424 has 60 divisors (see below), whose sum is σ = 762787116. Its totient is φ = 88390656.

The previous prime is 268865417. The next prime is 268865437. The reversal of 268865424 is 424568862.

268865424 is a `hidden beast` number, since 26 + 8 + 86 + 542 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68359824 + 200505600 = 8268^2 + 14160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268865424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2277 + ... + 23300.

Almost surely, 2^268865424 is an apocalyptic number.

268865424 is a gapful number since it is divisible by the number (24) 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 268865424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381393558).

268865424 is an abundant number, since it is smaller than the sum of its proper divisors (493921692).

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

268865424 is a wasteful number, since it uses less digits than its factorization.

268865424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25664 (or 25655 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 268865424 is about 16397.1163318432. The cubic root of 268865424 is about 645.4238137635.

The spelling of 268865424 in words is "two hundred sixty-eight million, eight hundred sixty-five thousand, four hundred twenty-four".