384803248 has 80 divisors (see below), whose sum is σ = 814233600. Its totient is φ = 175633920.

The previous prime is 384803239. The next prime is 384803249. The reversal of 384803248 is 842308483.

384803248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 384803248.

It is not an unprimeable number, because it can be changed into a prime (384803249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015123 + ... + 1015501.

It is an arithmetic number, because the mean of its divisors is an integer number (10177920).

Almost surely, 2^384803248 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 384803248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

384803248 is an abundant number, since it is smaller than the sum of its proper divisors (429430352).

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

384803248 is a wasteful number, since it uses less digits than its factorization.

384803248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 384803248 is about 19616.4025244182. The cubic root of 384803248 is about 727.3546891946.

The spelling of 384803248 in words is "three hundred eighty-four million, eight hundred three thousand, two hundred forty-eight".