4480884408 has 384 divisors, whose sum is σ = 15667868160. Its totient is φ = 1030579200.

The previous prime is 4480884407. The next prime is 4480884413. The reversal of 4480884408 is 8044880844.

It is a happy number.

It is a super-3 number, since 3×4480884408³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480884407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63111013 + ... + 63111083.

It is an arithmetic number, because the mean of its divisors is an integer number (40801740).

Almost surely, 2^4480884408 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 4480884408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833934080).

4480884408 is an abundant number, since it is smaller than the sum of its proper divisors (11186983752).

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

4480884408 is a wasteful number, since it uses less digits than its factorization.

4480884408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 4480884408 is about 66939.4084825972. The cubic root of 4480884408 is about 1648.6225918837.

It can be divided in two parts, 4480 and 884408, that added together give a palindrome (888888).

The spelling of 4480884408 in words is "four billion, four hundred eighty million, eight hundred eighty-four thousand, four hundred eight".