384666048 has 168 divisors, whose sum is σ = 1213762368. Its totient is φ = 115734528.

The previous prime is 384666043. The next prime is 384666071. The reversal of 384666048 is 840666483.

It is a junction number, because it is equal to n+sod(n) for n = 384665994 and 384666012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384666041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351390 + ... + 352482.

It is an arithmetic number, because the mean of its divisors is an integer number (7224776).

Almost surely, 2^384666048 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 384666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606881184).

384666048 is an abundant number, since it is smaller than the sum of its proper divisors (829096320).

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

384666048 is a wasteful number, since it uses less digits than its factorization.

384666048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 384666048 is about 19612.9051392189. The cubic root of 384666048 is about 727.2682338207.

The spelling of 384666048 in words is "three hundred eighty-four million, six hundred sixty-six thousand, forty-eight".