441084 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 122496.

The previous prime is 441079. The next prime is 441101. The reversal of 441084 is 480144.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 441084.

It is a congruent number.

It is an unprimeable number.

441084 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 4912 + ... + 5000.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴⁴¹⁰⁸⁴ 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 441084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

441084 is an abundant number, since it is smaller than the sum of its proper divisors (768516).

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

441084 is a wasteful number, since it uses less digits than its factorization.

441084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 441084 is about 664.1415511772. The cubic root of 441084 is about 76.1214586050.

Subtracting 441084 from its reverse (480144), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 44 and 1084, that added together give a triangular number (1128 = T₄₇).

The spelling of 441084 in words is "four hundred forty-one thousand, eighty-four".