384582200 has 96 divisors (see below), whose sum is σ = 922440960. Its totient is φ = 149040000.

The previous prime is 384582199. The next prime is 384582203. The reversal of 384582200 is 2285483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384582203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532075 + ... + 1532325.

It is an arithmetic number, because the mean of its divisors is an integer number (9608760).

Almost surely, 2^384582200 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 384582200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461220480).

384582200 is an abundant number, since it is smaller than the sum of its proper divisors (537858760).

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

384582200 is a wasteful number, since it uses less digits than its factorization.

384582200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 384582200 is about 19610.7674505614. The cubic root of 384582200 is about 727.2153876195.

The spelling of 384582200 in words is "three hundred eighty-four million, five hundred eighty-two thousand, two hundred".