4004500 has 24 divisors (see below), whose sum is σ = 8746920. Its totient is φ = 1601600.

The previous prime is 4004489. The next prime is 4004509. The reversal of 4004500 is 54004.

4004500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 3928324 = 276^2 + 1982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004509) 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 7 ways as a sum of consecutive naturals, for example, 3505 + ... + 4504.

It is an arithmetic number, because the mean of its divisors is an integer number (364455).

Almost surely, 2^4004500 is an apocalyptic number.

It is an amenable number.

4004500 is an abundant number, since it is smaller than the sum of its proper divisors (4742420).

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

4004500 is a wasteful number, since it uses less digits than its factorization.

4004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 4004500 is about 2001.1246837716. The cubic root of 4004500 is about 158.7996104274.

Adding to 4004500 its reverse (54004), we get a palindrome (4058504).

It can be divided in two parts, 400 and 4500, that added together give a square (4900 = 70²).

The spelling of 4004500 in words is "four million, four thousand, five hundred".