441246432 has 96 divisors (see below), whose sum is σ = 1268918784. Its totient is φ = 133145600.

The previous prime is 441246391. The next prime is 441246437. The reversal of 441246432 is 234642144.

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 self number, because there is not a number n which added to its sum of digits gives 441246432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441246437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295993 + ... + 297479.

It is an arithmetic number, because the mean of its divisors is an integer number (13217904).

Almost surely, 2^441246432 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 441246432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634459392).

441246432 is an abundant number, since it is smaller than the sum of its proper divisors (827672352).

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

441246432 is a wasteful number, since it uses less digits than its factorization.

441246432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 441246432 is about 21005.8666091166. The cubic root of 441246432 is about 761.3080152937.

Adding to 441246432 its reverse (234642144), we get a palindrome (675888576).

The spelling of 441246432 in words is "four hundred forty-one million, two hundred forty-six thousand, four hundred thirty-two".