4408480400 has 60 divisors (see below), whose sum is σ = 10837727472. Its totient is φ = 1722376320.

The previous prime is 4408480399. The next prime is 4408480423. The reversal of 4408480400 is 40848044.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110954 + ... + 145353.

Almost surely, 2^4408480400 is an apocalyptic number.

4408480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4408480400 is an abundant number, since it is smaller than the sum of its proper divisors (6429247072).

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

4408480400 is a wasteful number, since it uses less digits than its factorization.

4408480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256368 (or 256357 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4408480400 is about 66396.3884559996. The cubic root of 4408480400 is about 1639.6946189274.

The spelling of 4408480400 in words is "four billion, four hundred eight million, four hundred eighty thousand, four hundred".