4404480400 has 30 divisors (see below), whose sum is σ = 10581765122. Its totient is φ = 1761792000.

The previous prime is 4404480397. The next prime is 4404480401. The reversal of 4404480400 is 40844044.

It can be written as a sum of positive squares in 3 ways, for example, as 5607424 + 4398872976 = 2368^2 + 66324^2 .

It is a super-3 number, since 3×4404480400³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4404480401) 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 5 ways as a sum of consecutive naturals, for example, 5505201 + ... + 5506000.

Almost surely, 2^4404480400 is an apocalyptic number.

4404480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404480400 is an abundant number, since it is smaller than the sum of its proper divisors (6177284722).

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

4404480400 is a wasteful number, since it uses less digits than its factorization.

4404480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011219 (or 11011208 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4404480400 is about 66366.2594998392. The cubic root of 4404480400 is about 1639.1985475251.

The spelling of 4404480400 in words is "four billion, four hundred four million, four hundred eighty thousand, four hundred".