441380 has 24 divisors (see below), whose sum is σ = 960120. Its totient is φ = 170240.

The previous prime is 441361. The next prime is 441403. The reversal of 441380 is 83144.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 440896 = 22^2 + 664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 200 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (40005).

2⁴⁴¹³⁸⁰ 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 441380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060).

441380 is an abundant number, since it is smaller than the sum of its proper divisors (518740).

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

441380 is a wasteful number, since it uses less digits than its factorization.

441380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 441380 is about 664.3643578640. The cubic root of 441380 is about 76.1384825078.

The spelling of 441380 in words is "four hundred forty-one thousand, three hundred eighty".