443220480 has 120 divisors (see below), whose sum is σ = 1535076972. Its totient is φ = 118185984.

The previous prime is 443220473. The next prime is 443220497. The reversal of 443220480 is 84022344.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 408363264 + 34857216 = 20208^2 + 5904^2 .

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

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, 13422 + ... + 32658.

Almost surely, 2^443220480 is an apocalyptic number.

443220480 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 443220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767538486).

443220480 is an abundant number, since it is smaller than the sum of its proper divisors (1091856492).

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

443220480 is a wasteful number, since it uses less digits than its factorization.

443220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19266 (or 19247 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 443220480 is about 21052.8021887824. The cubic root of 443220480 is about 762.4416395358.

The spelling of 443220480 in words is "four hundred forty-three million, two hundred twenty thousand, four hundred eighty".