384440600 has 96 divisors (see below), whose sum is σ = 924315840. Its totient is φ = 148608000.

The previous prime is 384440593. The next prime is 384440603. The reversal of 384440600 is 6044483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384440603) 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, 1418465 + ... + 1418735.

It is an arithmetic number, because the mean of its divisors is an integer number (9628290).

Almost surely, 2^384440600 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 384440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462157920).

384440600 is an abundant number, since it is smaller than the sum of its proper divisors (539875240).

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

384440600 is a wasteful number, since it uses less digits than its factorization.

384440600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 384440600 is about 19607.1568566174. The cubic root of 384440600 is about 727.1261250904.

It can be divided in two parts, 3844 and 40600, that added together give a palindrome (44444).

The spelling of 384440600 in words is "three hundred eighty-four million, four hundred forty thousand, six hundred".