443729664 has 216 divisors, whose sum is σ = 1517792640. Its totient is φ = 126655488.

The previous prime is 443729659. The next prime is 443729669. The reversal of 443729664 is 466927344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (443729659) and next prime (443729669).

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443729669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434947 + ... + 435965.

Almost surely, 2^443729664 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 443729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758896320).

443729664 is an abundant number, since it is smaller than the sum of its proper divisors (1074062976).

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

443729664 is an equidigital number, since it uses as much as digits as its factorization.

443729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1031 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 443729664 is about 21064.8917395746. The cubic root of 443729664 is about 762.7334991775.

The spelling of 443729664 in words is "four hundred forty-three million, seven hundred twenty-nine thousand, six hundred sixty-four".