384800208 has 80 divisors (see below), whose sum is σ = 1076764416. Its totient is φ = 117711360.

The previous prime is 384800167. The next prime is 384800209. The reversal of 384800208 is 802008483.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384800209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111241 + ... + 114647.

Almost surely, 2^384800208 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 384800208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538382208).

384800208 is an abundant number, since it is smaller than the sum of its proper divisors (691964208).

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

384800208 is a wasteful number, since it uses less digits than its factorization.

384800208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 384800208 is about 19616.3250380901. The cubic root of 384800208 is about 727.3527737879.

The spelling of 384800208 in words is "three hundred eighty-four million, eight hundred thousand, two hundred eight".