443968980 has 384 divisors, whose sum is σ = 1642561536. Its totient is φ = 87091200.

The previous prime is 443968979. The next prime is 443969017. The reversal of 443968980 is 89869344.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7278150 + ... + 7278210.

It is an arithmetic number, because the mean of its divisors is an integer number (4277504).

Almost surely, 2^443968980 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 443968980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821280768).

443968980 is an abundant number, since it is smaller than the sum of its proper divisors (1198592556).

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

443968980 is a wasteful number, since it uses less digits than its factorization.

443968980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 443968980 is about 21070.5714208229. The cubic root of 443968980 is about 762.8705958074.

The spelling of 443968980 in words is "four hundred forty-three million, nine hundred sixty-eight thousand, nine hundred eighty".