384804072 has 48 divisors (see below), whose sum is σ = 1048451040. Its totient is φ = 127495968.

The previous prime is 384804067. The next prime is 384804083. The reversal of 384804072 is 270408483.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3978 + ... + 28025.

It is an arithmetic number, because the mean of its divisors is an integer number (21842730).

Almost surely, 2^384804072 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 384804072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524225520).

384804072 is an abundant number, since it is smaller than the sum of its proper divisors (663646968).

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

384804072 is a wasteful number, since it uses less digits than its factorization.

384804072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32182 (or 32175 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 384804072 is about 19616.4235272386. The cubic root of 384804072 is about 727.3552083688.

The spelling of 384804072 in words is "three hundred eighty-four million, eight hundred four thousand, seventy-two".