441232144 has 40 divisors (see below), whose sum is σ = 907810200. Its totient is φ = 207034368.

The previous prime is 441232139. The next prime is 441232177.

441232144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 25887744 + 415344400 = 5088^2 + 20380^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99282 + ... + 103630.

It is an arithmetic number, because the mean of its divisors is an integer number (22695255).

Almost surely, 2^441232144 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 441232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453905100).

441232144 is an abundant number, since it is smaller than the sum of its proper divisors (466578056).

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

441232144 is a wasteful number, since it uses less digits than its factorization.

441232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4747 (or 4741 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 441232144 is about 21005.5265108971. The cubic root of 441232144 is about 761.2997979005.

The spelling of 441232144 in words is "four hundred forty-one million, two hundred thirty-two thousand, one hundred forty-four".