384330144 has 48 divisors (see below), whose sum is σ = 1100584800. Its totient is φ = 116463360.

The previous prime is 384330143. The next prime is 384330209. The reversal of 384330144 is 441033483.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (384330143) 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 7 ways as a sum of consecutive naturals, for example, 180919 + ... + 183030.

It is an arithmetic number, because the mean of its divisors is an integer number (22928850).

Almost surely, 2^384330144 is an apocalyptic number.

It is an amenable number.

384330144 is an abundant number, since it is smaller than the sum of its proper divisors (716254656).

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

384330144 is a wasteful number, since it uses less digits than its factorization.

384330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363973 (or 363965 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 384330144 is about 19604.3399276793. The cubic root of 384330144 is about 727.0564800559.

The spelling of 384330144 in words is "three hundred eighty-four million, three hundred thirty thousand, one hundred forty-four".