384473664 has 189 divisors, whose sum is σ = 1190755683. Its totient is φ = 118589184.

The previous prime is 384473647. The next prime is 384473669. The reversal of 384473664 is 466374483.

The square root of 384473664 is 19608.

It is a perfect power (a square), and thus also a powerful number.

384473664 is nontrivially palindromic in base 7.

384473664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

384473664 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (384473669) 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 26 ways as a sum of consecutive naturals, for example, 8941227 + ... + 8941269.

Almost surely, 2^384473664 is an apocalyptic number.

384473664 is the 19608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384473664

384473664 is an abundant number, since it is smaller than the sum of its proper divisors (806282019).

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

384473664 is a wasteful number, since it uses less digits than its factorization.

384473664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 67 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The cubic root of 384473664 is about 727.1469701043.

The spelling of 384473664 in words is "three hundred eighty-four million, four hundred seventy-three thousand, six hundred sixty-four".