384868200 has 144 divisors (see below), whose sum is σ = 1252464480. Its totient is φ = 97581440.

The previous prime is 384868181. The next prime is 384868207. The reversal of 384868200 is 2868483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384868207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2304517 + ... + 2304683.

It is an arithmetic number, because the mean of its divisors is an integer number (8697670).

Almost surely, 2^384868200 is an apocalyptic number.

384868200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384868200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626232240).

384868200 is an abundant number, since it is smaller than the sum of its proper divisors (867596280).

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

384868200 is a wasteful number, since it uses less digits than its factorization.

384868200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 384868200 is about 19618.0580078661. The cubic root of 384868200 is about 727.3956109593.

The spelling of 384868200 in words is "three hundred eighty-four million, eight hundred sixty-eight thousand, two hundred".