4406080 has 84 divisors (see below), whose sum is σ = 12248388. Its totient is φ = 1505280.

The previous prime is 4406069. The next prime is 4406089. The reversal of 4406080 is 806044.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 2119936 = 1512^2 + 1456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15540 + ... + 15820.

Almost surely, 2^4406080 is an apocalyptic number.

4406080 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 4406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124194).

4406080 is an abundant number, since it is smaller than the sum of its proper divisors (7842308).

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

4406080 is a wasteful number, since it uses less digits than its factorization.

4406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4406080 is about 2099.0664591670. The cubic root of 4406080 is about 163.9396962503.

The spelling of 4406080 in words is "four million, four hundred six thousand, eighty".