4004480 has 32 divisors (see below), whose sum is σ = 9574740. Its totient is φ = 1601536.

The previous prime is 4004453. The next prime is 4004489. The reversal of 4004480 is 844004.

It can be written as a sum of positive squares in 2 ways, for example, as 3717184 + 287296 = 1928^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4004489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2489 + ... + 3768.

Almost surely, 2^4004480 is an apocalyptic number.

4004480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004480 is an abundant number, since it is smaller than the sum of its proper divisors (5570260).

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

4004480 is an equidigital number, since it uses as much as digits as its factorization.

4004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4004480 is about 2001.1196865755. The cubic root of 4004480 is about 158.7993460583.

Adding to 4004480 its reverse (844004), we get a palindrome (4848484).

The spelling of 4004480 in words is "four million, four thousand, four hundred eighty".