384307200 has 312 divisors, whose sum is σ = 1421957600. Its totient is φ = 101744640.

The previous prime is 384307193. The next prime is 384307241. The reversal of 384307200 is 2703483.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2764731 + ... + 2764869.

Almost surely, 2^384307200 is an apocalyptic number.

384307200 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 384307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710978800).

384307200 is an abundant number, since it is smaller than the sum of its proper divisors (1037650400).

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

384307200 is a wasteful number, since it uses less digits than its factorization.

384307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 384307200 is about 19603.7547423957. The cubic root of 384307200 is about 727.0420116654.

The spelling of 384307200 in words is "three hundred eighty-four million, three hundred seven thousand, two hundred".