4441680 has 120 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1140480.

The previous prime is 4441673. The next prime is 4441693. The reversal of 4441680 is 861444.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×4441680³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22221 + ... + 22419.

It is an arithmetic number, because the mean of its divisors is an integer number (128960).

Almost surely, 2^4441680 is an apocalyptic number.

4441680 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 4441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

4441680 is an abundant number, since it is smaller than the sum of its proper divisors (11033520).

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

4441680 is a wasteful number, since it uses less digits than its factorization.

4441680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

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

The square root of 4441680 is about 2107.5293592261. The cubic root of 4441680 is about 164.3800426872.

The spelling of 4441680 in words is "four million, four hundred forty-one thousand, six hundred eighty".