384911808 has 112 divisors (see below), whose sum is σ = 1074456576. Its totient is φ = 121369600.

The previous prime is 384911797. The next prime is 384911827. The reversal of 384911808 is 808119483.

It is a self number, because there is not a number n which added to its sum of digits gives 384911808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445585 + ... + 446447.

Almost surely, 2^384911808 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 384911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537228288).

384911808 is an abundant number, since it is smaller than the sum of its proper divisors (689544768).

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

384911808 is a wasteful number, since it uses less digits than its factorization.

384911808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 384911808 is about 19619.1694013788. The cubic root of 384911808 is about 727.4230827620.

The spelling of 384911808 in words is "three hundred eighty-four million, nine hundred eleven thousand, eight hundred eight".