441130280 has 128 divisors (see below), whose sum is σ = 1096999200. Its totient is φ = 158957568.

The previous prime is 441130267. The next prime is 441130351. The reversal of 441130280 is 82031144.

It can be written as a sum of positive squares in 16 ways, for example, as 250082596 + 191047684 = 15814^2 + 13822^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239142 + ... + 2239338.

Almost surely, 2^441130280 is an apocalyptic number.

441130280 is a gapful number since it is divisible by the number (40) 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 441130280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548499600).

441130280 is an abundant number, since it is smaller than the sum of its proper divisors (655868920).

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

441130280 is a wasteful number, since it uses less digits than its factorization.

441130280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 441130280 is about 21003.1016757049. The cubic root of 441130280 is about 761.2412081746.

The spelling of 441130280 in words is "four hundred forty-one million, one hundred thirty thousand, two hundred eighty".