441464144 has 60 divisors (see below), whose sum is σ = 962209248. Its totient is φ = 195961920.

The previous prime is 441464141. The next prime is 441464159.

441464144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 441464144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441464141) 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 in 11 ways as a sum of consecutive naturals, for example, 80597 + ... + 85899.

Almost surely, 2^441464144 is an apocalyptic number.

441464144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481104624).

441464144 is an abundant number, since it is smaller than the sum of its proper divisors (520745104).

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

441464144 is a wasteful number, since it uses less digits than its factorization.

441464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5359 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 441464144 is about 21011.0481413946. The cubic root of 441464144 is about 761.4332050791.

The spelling of 441464144 in words is "four hundred forty-one million, four hundred sixty-four thousand, one hundred forty-four".