4004520 has 128 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 921600.

The previous prime is 4004513. The next prime is 4004527. The reversal of 4004520 is 254004.

4004520 is digitally balanced in base 2, 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 (4004513) and next prime (4004527).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4004520.

It is not an unprimeable number, because it can be changed into a prime (4004527) 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 31 ways as a sum of consecutive naturals, for example, 26445 + ... + 26595.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

Almost surely, 2^4004520 is an apocalyptic number.

4004520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4004520 is an abundant number, since it is smaller than the sum of its proper divisors (9784920).

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

4004520 is a wasteful number, since it uses less digits than its factorization.

4004520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4004520 is about 2001.1296809552. The cubic root of 4004520 is about 158.7998747955.

Adding to 4004520 its reverse (254004), we get a palindrome (4258524).

The spelling of 4004520 in words is "four million, four thousand, five hundred twenty".