4005504 has 128 divisors (see below), whose sum is σ = 12648000. Its totient is φ = 1244160.

The previous prime is 4005499. The next prime is 4005527. The reversal of 4005504 is 4055004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65634 + ... + 65694.

Almost surely, 2^4005504 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 4005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324000).

4005504 is an abundant number, since it is smaller than the sum of its proper divisors (8642496).

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

4005504 is a wasteful number, since it uses less digits than its factorization.

4005504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4005504 is about 2001.3755269814. The cubic root of 4005504 is about 158.8128806223.

The spelling of 4005504 in words is "four million, five thousand, five hundred four".