384424200 has 144 divisors (see below), whose sum is σ = 1322766900. Its totient is φ = 99993600.

The previous prime is 384424199. The next prime is 384424217. The reversal of 384424200 is 2424483.

It is a happy number.

384424200 is a `hidden beast` number, since 38 + 4 + 424 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 153809604 + 230614596 = 12402^2 + 15186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71196 + ... + 76404.

Almost surely, 2^384424200 is an apocalyptic number.

384424200 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 384424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661383450).

384424200 is an abundant number, since it is smaller than the sum of its proper divisors (938342700).

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

384424200 is a wasteful number, since it uses less digits than its factorization.

384424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 384424200 is about 19606.7386375195. The cubic root of 384424200 is about 727.1157853586.

Adding to 384424200 its reverse (2424483), we get a palindrome (386848683).

The spelling of 384424200 in words is "three hundred eighty-four million, four hundred twenty-four thousand, two hundred".