441840364 has 48 divisors (see below), whose sum is σ = 942054400. Its totient is φ = 177106176.

The previous prime is 441840361. The next prime is 441840401. The reversal of 441840364 is 463048144.

441840364 = 35² + 36² + ... + 1098².

It is not an unprimeable number, because it can be changed into a prime (441840361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36772 + ... + 47284.

Almost surely, 2^441840364 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 441840364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471027200).

441840364 is an abundant number, since it is smaller than the sum of its proper divisors (500214036).

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

441840364 is a wasteful number, since it uses less digits than its factorization.

441840364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10620 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 441840364 is about 21019.9991436727. Note that the first 3 decimals coincide. The cubic root of 441840364 is about 761.6494439034.

The spelling of 441840364 in words is "four hundred forty-one million, eight hundred forty thousand, three hundred sixty-four".