268838352 has 200 divisors, whose sum is σ = 842624640. Its totient is φ = 82494720.

The previous prime is 268838351. The next prime is 268838359. The reversal of 268838352 is 253838862.

268838352 is a `hidden beast` number, since 268 + 8 + 38 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268838298 and 268838307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268838351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 864277 + ... + 864587.

Almost surely, 2^268838352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268838352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

268838352 is an abundant number, since it is smaller than the sum of its proper divisors (573786288).

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

268838352 is a wasteful number, since it uses less digits than its factorization.

268838352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 268838352 is about 16396.2908000560. The cubic root of 268838352 is about 645.4021505094.

The spelling of 268838352 in words is "two hundred sixty-eight million, eight hundred thirty-eight thousand, three hundred fifty-two".