441404401 has 16 divisors (see below), whose sum is σ = 465050880. Its totient is φ = 418504320.

The previous prime is 441404399. The next prime is 441404419. The reversal of 441404401 is 104404144.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 441404401 - 2¹ = 441404399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441404471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301810 + ... + 303268.

It is an arithmetic number, because the mean of its divisors is an integer number (29065680).

Almost surely, 2^441404401 is an apocalyptic number.

441404401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

441404401 is a deficient number, since it is larger than the sum of its proper divisors (23646479).

441404401 is a wasteful number, since it uses less digits than its factorization.

441404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 441404401 is about 21009.6263888723. The cubic root of 441404401 is about 761.3988554746.

Adding to 441404401 its reverse (104404144), we get a palindrome (545808545).

The spelling of 441404401 in words is "four hundred forty-one million, four hundred four thousand, four hundred one".