441366432 has 96 divisors (see below), whose sum is σ = 1253568960. Its totient is φ = 135168000.

The previous prime is 441366413. The next prime is 441366439. The reversal of 441366432 is 234663144.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 441366393 and 441366402.

It is not an unprimeable number, because it can be changed into a prime (441366439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312544 + ... + 313952.

It is an arithmetic number, because the mean of its divisors is an integer number (13058010).

Almost surely, 2^441366432 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 441366432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626784480).

441366432 is an abundant number, since it is smaller than the sum of its proper divisors (812202528).

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

441366432 is a wasteful number, since it uses less digits than its factorization.

441366432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 441366432 is about 21008.7227598443. The cubic root of 441366432 is about 761.3770233542.

The spelling of 441366432 in words is "four hundred forty-one million, three hundred sixty-six thousand, four hundred thirty-two".