4416480 has 72 divisors (see below), whose sum is σ = 15076152. Its totient is φ = 1177344.

The previous prime is 4416473. The next prime is 4416499. The reversal of 4416480 is 846144.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent 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, 94 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (209391).

Almost surely, 2^4416480 is an apocalyptic number.

4416480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538076).

4416480 is an abundant number, since it is smaller than the sum of its proper divisors (10659672).

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

4416480 is a wasteful number, since it uses less digits than its factorization.

4416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4416480 is about 2101.5422907950. The cubic root of 4416480 is about 164.0685812712.

It can be divided in two parts, 44164 and 80, that added together give a palindrome (44244).

The spelling of 4416480 in words is "four million, four hundred sixteen thousand, four hundred eighty".