441848144 has 20 divisors (see below), whose sum is σ = 876962100. Its totient is φ = 215535360.

The previous prime is 441848129. The next prime is 441848161.

441848144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 22090000 + 419758144 = 4700^2 + 20488^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441848098 and 441848107.

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, 336119 + ... + 337430.

It is an arithmetic number, because the mean of its divisors is an integer number (43848105).

Almost surely, 2^441848144 is an apocalyptic number.

It is an amenable number.

441848144 is a deficient number, since it is larger than the sum of its proper divisors (435113956).

441848144 is a wasteful number, since it uses less digits than its factorization.

441848144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673598 (or 673592 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The square root of 441848144 is about 21020.1842047114. The cubic root of 441848144 is about 761.6539142946.

The spelling of 441848144 in words is "four hundred forty-one million, eight hundred forty-eight thousand, one hundred forty-four".