384566800 has 60 divisors (see below), whose sum is σ = 930186496. Its totient is φ = 152784000.

The previous prime is 384566771. The next prime is 384566803. The reversal of 384566800 is 8665483.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (384566803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57217 + ... + 63583.

Almost surely, 2^384566800 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 384566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465093248).

384566800 is an abundant number, since it is smaller than the sum of its proper divisors (545619696).

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

384566800 is a wasteful number, since it uses less digits than its factorization.

384566800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6525 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 384566800 is about 19610.3748051892. The cubic root of 384566800 is about 727.2056807511.

The spelling of 384566800 in words is "three hundred eighty-four million, five hundred sixty-six thousand, eight hundred".