443228520 has 192 divisors, whose sum is σ = 1583651520. Its totient is φ = 98896896.

The previous prime is 443228509. The next prime is 443228557. The reversal of 443228520 is 25822344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251964 + ... + 253716.

It is an arithmetic number, because the mean of its divisors is an integer number (8248185).

Almost surely, 2^443228520 is an apocalyptic number.

443228520 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 443228520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791825760).

443228520 is an abundant number, since it is smaller than the sum of its proper divisors (1140423000).

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

443228520 is a wasteful number, since it uses less digits than its factorization.

443228520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 443228520 is about 21052.9931363690. The cubic root of 443228520 is about 762.4462497272.

The spelling of 443228520 in words is "four hundred forty-three million, two hundred twenty-eight thousand, five hundred twenty".