443032020 has 144 divisors (see below), whose sum is σ = 1379942928. Its totient is φ = 115015680.

The previous prime is 443032001. The next prime is 443032021. The reversal of 443032020 is 20230344.

It can be written as a sum of positive squares in 8 ways, for example, as 9809424 + 433222596 = 3132^2 + 20814^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 443031984 and 443032002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443032021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1723732 + ... + 1723988.

It is an arithmetic number, because the mean of its divisors is an integer number (9582937).

Almost surely, 2^443032020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689971464).

443032020 is an abundant number, since it is smaller than the sum of its proper divisors (936910908).

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

443032020 is a wasteful number, since it uses less digits than its factorization.

443032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 443032020 is about 21048.3258241600. The cubic root of 443032020 is about 762.3335592999. Note that the first 3 decimals are identical.

Adding to 443032020 its reverse (20230344), we get a palindrome (463262364).

The spelling of 443032020 in words is "four hundred forty-three million, thirty-two thousand, twenty".