441344320 has 28 divisors (see below), whose sum is σ = 1050951924. Its totient is φ = 176537600.

The previous prime is 441344317. The next prime is 441344339. The reversal of 441344320 is 23443144.

It can be written as a sum of positive squares in 2 ways, for example, as 138862656 + 302481664 = 11784^2 + 17392^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 689281 + ... + 689920.

Almost surely, 2^441344320 is an apocalyptic number.

441344320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441344320 is an abundant number, since it is smaller than the sum of its proper divisors (609607604).

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

441344320 is a wasteful number, since it uses less digits than its factorization.

441344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379218 (or 1379208 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 441344320 is about 21008.1964956538. The cubic root of 441344320 is about 761.3643084091.

Adding to 441344320 its reverse (23443144), we get a palindrome (464787464).

The spelling of 441344320 in words is "four hundred forty-one million, three hundred forty-four thousand, three hundred twenty".