384608304 has 80 divisors (see below), whose sum is σ = 1108679040. Its totient is φ = 127656000.

The previous prime is 384608299. The next prime is 384608309. The reversal of 384608304 is 403806483.

It is an interprime number because it is at equal distance from previous prime (384608299) and next prime (384608309).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (384608309) by changing a digit.

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, 106659 + ... + 110205.

It is an arithmetic number, because the mean of its divisors is an integer number (13858488).

Almost surely, 2^384608304 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 384608304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554339520).

384608304 is an abundant number, since it is smaller than the sum of its proper divisors (724070736).

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

384608304 is a wasteful number, since it uses less digits than its factorization.

384608304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 384608304 is about 19611.4329920075. The cubic root of 384608304 is about 727.2318407999.

It can be divided in two parts, 38460 and 8304, that added together give a palindrome (46764).

The spelling of 384608304 in words is "three hundred eighty-four million, six hundred eight thousand, three hundred four".