4438480 has 40 divisors (see below), whose sum is σ = 10434600. Its totient is φ = 1755648.

The previous prime is 4438463. The next prime is 4438481. The reversal of 4438480 is 848344.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 3055504 = 1176^2 + 1748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4438481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8466 + ... + 8974.

It is an arithmetic number, because the mean of its divisors is an integer number (260865).

Almost surely, 2^4438480 is an apocalyptic number.

4438480 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 4438480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217300).

4438480 is an abundant number, since it is smaller than the sum of its proper divisors (5996120).

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

4438480 is a wasteful number, since it uses less digits than its factorization.

4438480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 4438480 is about 2106.7700396579. The cubic root of 4438480 is about 164.3405574392.

The spelling of 4438480 in words is "four million, four hundred thirty-eight thousand, four hundred eighty".