441331441 has 8 divisors (see below), whose sum is σ = 467799624. Its totient is φ = 414919680.

The previous prime is 441331427. The next prime is 441331453. The reversal of 441331441 is 144133144.

It can be written as a sum of positive squares in 4 ways, for example, as 256480225 + 184851216 = 16015^2 + 13596^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 441331441 - 2¹¹ = 441329393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441331141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2581 + ... + 29821.

It is an arithmetic number, because the mean of its divisors is an integer number (58474953).

Almost surely, 2^441331441 is an apocalyptic number.

It is an amenable number.

441331441 is a deficient number, since it is larger than the sum of its proper divisors (26468183).

441331441 is a wasteful number, since it uses less digits than its factorization.

441331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28211.

The product of its digits is 2304, while the sum is 25.

The square root of 441331441 is about 21007.8899701993. The cubic root of 441331441 is about 761.3569024708.

Adding to 441331441 its reverse (144133144), we get a palindrome (585464585).

The spelling of 441331441 in words is "four hundred forty-one million, three hundred thirty-one thousand, four hundred forty-one".