208865384 has 64 divisors (see below), whose sum is σ = 483907200. Its totient is φ = 82301184.

The previous prime is 208865359. The next prime is 208865389. The reversal of 208865384 is 483568802.

208865384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×208865384⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (208865389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275534 + ... + 276290.

It is an arithmetic number, because the mean of its divisors is an integer number (7561050).

Almost surely, 2^208865384 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 208865384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241953600).

208865384 is an abundant number, since it is smaller than the sum of its proper divisors (275041816).

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

208865384 is a wasteful number, since it uses less digits than its factorization.

208865384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 208865384 is about 14452.1757531522. The cubic root of 208865384 is about 593.3197744100.

The spelling of 208865384 in words is "two hundred eight million, eight hundred sixty-five thousand, three hundred eighty-four".