441345352 has 48 divisors (see below), whose sum is σ = 964922220. Its totient is φ = 188697600.

The previous prime is 441345299. The next prime is 441345397. The reversal of 441345352 is 253543144.

It can be written as a sum of positive squares in 2 ways, for example, as 440412196 + 933156 = 20986^2 + 966^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 203152 + ... + 205312.

Almost surely, 2^441345352 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 441345352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482461110).

441345352 is an abundant number, since it is smaller than the sum of its proper divisors (523576868).

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

441345352 is a wasteful number, since it uses less digits than its factorization.

441345352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2691 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 441345352 is about 21008.2210574813. The cubic root of 441345352 is about 761.3649018439.

Adding to 441345352 its reverse (253543144), we get a palindrome (694888496).

The spelling of 441345352 in words is "four hundred forty-one million, three hundred forty-five thousand, three hundred fifty-two".