384864768 has 150 divisors (see below), whose sum is σ = 1180166559. Its totient is φ = 120741888.

The previous prime is 384864743. The next prime is 384864791. The reversal of 384864768 is 867468483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 370485504 + 14379264 = 19248^2 + 3792^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13872.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 22639096 + ... + 22639112.

Almost surely, 2^384864768 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 384864768

384864768 is an abundant number, since it is smaller than the sum of its proper divisors (795301791).

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

384864768 is an frugal number, since it uses more digits than its factorization.

384864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 22 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 384864768 is about 19617.9705372396. The cubic root of 384864768 is about 727.3934488086.

The spelling of 384864768 in words is "three hundred eighty-four million, eight hundred sixty-four thousand, seven hundred sixty-eight".