4384500 has 96 divisors (see below), whose sum is σ = 13278720. Its totient is φ = 1123200.

The previous prime is 4384493. The next prime is 4384507. The reversal of 4384500 is 54834.

It is a happy number.

4384500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4384493) and next prime (4384507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4384507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55461 + ... + 55539.

It is an arithmetic number, because the mean of its divisors is an integer number (138320).

Almost surely, 2^4384500 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 4384500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639360).

4384500 is an abundant number, since it is smaller than the sum of its proper divisors (8894220).

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

4384500 is a wasteful number, since it uses less digits than its factorization.

4384500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4384500 is about 2093.9197692366. The cubic root of 4384500 is about 163.6716113744.

It can be divided in two parts, 4384 and 500, that added together give a palindrome (4884).

The spelling of 4384500 in words is "four million, three hundred eighty-four thousand, five hundred".