443309664 has 96 divisors (see below), whose sum is σ = 1357171200. Its totient is φ = 126650496.

The previous prime is 443309639. The next prime is 443309693. The reversal of 443309664 is 466903344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26197 + ... + 39659.

It is an arithmetic number, because the mean of its divisors is an integer number (14137200).

Almost surely, 2^443309664 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 443309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

443309664 is an abundant number, since it is smaller than the sum of its proper divisors (913861536).

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

443309664 is a wasteful number, since it uses less digits than its factorization.

443309664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13497 (or 13475 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 443309664 is about 21054.9201850779. The cubic root of 443309664 is about 762.4927751353.

The spelling of 443309664 in words is "four hundred forty-three million, three hundred nine thousand, six hundred sixty-four".