441728352 has 144 divisors (see below), whose sum is σ = 1364912640. Its totient is φ = 134701056.

The previous prime is 441728351. The next prime is 441728381. The reversal of 441728352 is 253827144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441728351) 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 23 ways as a sum of consecutive naturals, for example, 475024 + ... + 475952.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^441728352 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 441728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

441728352 is an abundant number, since it is smaller than the sum of its proper divisors (923184288).

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

441728352 is a wasteful number, since it uses less digits than its factorization.

441728352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 441728352 is about 21017.3345598342. The cubic root of 441728352 is about 761.5850759439.

The spelling of 441728352 in words is "four hundred forty-one million, seven hundred twenty-eight thousand, three hundred fifty-two".