384766848 has 320 divisors, whose sum is σ = 1266289200. Its totient is φ = 115458048.

The previous prime is 384766819. The next prime is 384766849. The reversal of 384766848 is 848667483.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 384766794 and 384766803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384766849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6521443 + ... + 6521501.

Almost surely, 2^384766848 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 384766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633144600).

384766848 is an abundant number, since it is smaller than the sum of its proper divisors (881522352).

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

384766848 is a wasteful number, since it uses less digits than its factorization.

384766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

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

The square root of 384766848 is about 19615.4747074854. The cubic root of 384766848 is about 727.3317540576.

The spelling of 384766848 in words is "three hundred eighty-four million, seven hundred sixty-six thousand, eight hundred forty-eight".