384974200 has 96 divisors (see below), whose sum is σ = 1014778800. Its totient is φ = 134645760.

The previous prime is 384974179. The next prime is 384974201. The reversal of 384974200 is 2479483.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 384974200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384974201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45504 + ... + 53296.

Almost surely, 2^384974200 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 384974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507389400).

384974200 is an abundant number, since it is smaller than the sum of its proper divisors (629804600).

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

384974200 is a wasteful number, since it uses less digits than its factorization.

384974200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841 (or 7832 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 384974200 is about 19620.7594144569. The cubic root of 384974200 is about 727.4623843440.

The spelling of 384974200 in words is "three hundred eighty-four million, nine hundred seventy-four thousand, two hundred".