384220200 has 384 divisors, whose sum is σ = 1519902720. Its totient is φ = 78105600.

The previous prime is 384220181. The next prime is 384220211. The reversal of 384220200 is 2022483.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1692487 + ... + 1692713.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^384220200 is an apocalyptic number.

384220200 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 384220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759951360).

384220200 is an abundant number, since it is smaller than the sum of its proper divisors (1135682520).

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

384220200 is a wasteful number, since it uses less digits than its factorization.

384220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 384220200 is about 19601.5356541267. The cubic root of 384220200 is about 726.9871445966.

Adding to 384220200 its reverse (2022483), we get a palindrome (386242683).

It can be divided in two parts, 3842 and 20200, that added together give a palindrome (24042).

The spelling of 384220200 in words is "three hundred eighty-four million, two hundred twenty thousand, two hundred".