384653568 has 144 divisors (see below), whose sum is σ = 1122891840. Its totient is φ = 116170752.

The previous prime is 384653561. The next prime is 384653569. The reversal of 384653568 is 865356483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (384653561) 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, 588730 + ... + 589382.

It is an arithmetic number, because the mean of its divisors is an integer number (7797860).

Almost surely, 2^384653568 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 384653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561445920).

384653568 is an abundant number, since it is smaller than the sum of its proper divisors (738238272).

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

384653568 is a wasteful number, since it uses less digits than its factorization.

384653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 730 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 384653568 is about 19612.5869787746. The cubic root of 384653568 is about 727.2603686385.

The spelling of 384653568 in words is "three hundred eighty-four million, six hundred fifty-three thousand, five hundred sixty-eight".