4505004 has 96 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1252800.

The previous prime is 4505003. The next prime is 4505029. The reversal of 4505004 is 4005054.

It is a happy number.

4505004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4505004² = 40590122080032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4505003) 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, 44554 + ... + 44654.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

Almost surely, 2^4505004 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 4505004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4505004 is an abundant number, since it is smaller than the sum of its proper divisors (9203796).

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

4505004 is a wasteful number, since it uses less digits than its factorization.

4505004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

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

The square root of 4505004 is about 2122.4994699646. The cubic root of 4505004 is about 165.1575354939.

4505004 divided by its sum of digits (18) gives a triangular number (250278 = T₇₀₇).

The spelling of 4505004 in words is "four million, five hundred five thousand, four".