441484144 has 80 divisors (see below), whose sum is σ = 911727360. Its totient is φ = 206807040.

The previous prime is 441484129. The next prime is 441484181.

441484144 is nontrivially palindromic in base 10.

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

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 15 ways as a sum of consecutive naturals, for example, 3222444 + ... + 3222580.

It is an arithmetic number, because the mean of its divisors is an integer number (11396592).

Almost surely, 2^441484144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441484144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455863680).

441484144 is an abundant number, since it is smaller than the sum of its proper divisors (470243216).

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

441484144 is a wasteful number, since it uses less digits than its factorization.

441484144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The square root of 441484144 is about 21011.5240760874. The cubic root of 441484144 is about 761.4447035094. Note that the first 3 decimals are identical.

The spelling of 441484144 in words is "four hundred forty-one million, four hundred eighty-four thousand, one hundred forty-four".