384806800 has 180 divisors, whose sum is σ = 1114164180. Its totient is φ = 127196160.

The previous prime is 384806789. The next prime is 384806801. The reversal of 384806800 is 8608483.

It can be written as a sum of positive squares in 6 ways, for example, as 19079424 + 365727376 = 4368^2 + 19124^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 384806800.

It is not an unprimeable number, because it can be changed into a prime (384806801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 568062 + ... + 568738.

It is an arithmetic number, because the mean of its divisors is an integer number (6189801).

Almost surely, 2^384806800 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 384806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557082090).

384806800 is an abundant number, since it is smaller than the sum of its proper divisors (729357380).

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

384806800 is a wasteful number, since it uses less digits than its factorization.

384806800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 384806800 is about 19616.4930606875. The cubic root of 384806800 is about 727.3569271832.

The spelling of 384806800 in words is "three hundred eighty-four million, eight hundred six thousand, eight hundred".