443946906 has 96 divisors (see below), whose sum is σ = 1111743360. Its totient is φ = 131834304.

The previous prime is 443946889. The next prime is 443946907. The reversal of 443946906 is 609649344.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (443946907) 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, 182011 + ... + 184433.

It is an arithmetic number, because the mean of its divisors is an integer number (11580660).

Almost surely, 2^443946906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443946906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555871680).

443946906 is an abundant number, since it is smaller than the sum of its proper divisors (667796454).

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

443946906 is a wasteful number, since it uses less digits than its factorization.

443946906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 443946906 is about 21070.0476031736. The cubic root of 443946906 is about 762.8579523681.

The spelling of 443946906 in words is "four hundred forty-three million, nine hundred forty-six thousand, nine hundred six".