441686144 has 16 divisors (see below), whose sum is σ = 879921870. Its totient is φ = 220843008.

The previous prime is 441686143. The next prime is 441686191.

441686144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 417793600 + 23892544 = 20440^2 + 4888^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 441686098 and 441686107.

It is not an unprimeable number, because it can be changed into a prime (441686143) by changing a digit.

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 as a sum of consecutive naturals, namely, 1725209 + ... + 1725464.

Almost surely, 2^441686144 is an apocalyptic number.

It is an amenable number.

441686144 is a deficient number, since it is larger than the sum of its proper divisors (438235726).

441686144 is an equidigital number, since it uses as much as digits as its factorization.

441686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450687 (or 3450675 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 441686144 is about 21016.3304123246. The cubic root of 441686144 is about 761.5608181947.

The spelling of 441686144 in words is "four hundred forty-one million, six hundred eighty-six thousand, one hundred forty-four".