443141136 has 60 divisors (see below), whose sum is σ = 1252499820. Its totient is φ = 146246400.

The previous prime is 443141131. The next prime is 443141173. The reversal of 443141136 is 631141344.

It can be written as a sum of positive squares in 2 ways, for example, as 348195600 + 94945536 = 18660^2 + 9744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (443141131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 691 + ... + 29778.

It is an arithmetic number, because the mean of its divisors is an integer number (20874997).

Almost surely, 2^443141136 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 443141136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626249910).

443141136 is an abundant number, since it is smaller than the sum of its proper divisors (809358684).

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

443141136 is a wasteful number, since it uses less digits than its factorization.

443141136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30584 (or 30575 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 443141136 is about 21050.9176997109. The cubic root of 443141136 is about 762.3961401494.

The spelling of 443141136 in words is "four hundred forty-three million, one hundred forty-one thousand, one hundred thirty-six".