4430880 has 144 divisors (see below), whose sum is σ = 16098264. Its totient is φ = 1105920.

The previous prime is 4430879. The next prime is 4430887. The reversal of 4430880 is 880344.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 1648656 = 1668^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4430887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24390 + ... + 24570.

Almost surely, 2^4430880 is an apocalyptic number.

4430880 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 4430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049132).

4430880 is an abundant number, since it is smaller than the sum of its proper divisors (11667384).

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

4430880 is a wasteful number, since it uses less digits than its factorization.

4430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

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

The square root of 4430880 is about 2104.9655579130. The cubic root of 4430880 is about 164.2467038530.

The spelling of 4430880 in words is "four million, four hundred thirty thousand, eight hundred eighty".