5480440900 has 81 divisors (see below), whose sum is σ = 13091436183. Its totient is φ = 1989926400.

The previous prime is 5480440829. The next prime is 5480440907. The reversal of 5480440900 is 90440845.

The square root of 5480440900 is 74030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 536663556 + 4943777344 = 23166^2 + 70312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5480440907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8142964 + ... + 8143636.

Almost surely, 2^5480440900 is an apocalyptic number.

5480440900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5480440900 is the 74030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5480440900

5480440900 is an abundant number, since it is smaller than the sum of its proper divisors (7610995283).

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

5480440900 is a wasteful number, since it uses less digits than its factorization.

5480440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The cubic root of 5480440900 is about 1763.0792449173.

The spelling of 5480440900 in words is "five billion, four hundred eighty million, four hundred forty thousand, nine hundred".