441384 has 32 divisors (see below), whose sum is σ = 1127520. Its totient is φ = 143936.

The previous prime is 441361. The next prime is 441403. The reversal of 441384 is 483144.

It is a super-3 number, since 3×441384³ = 257971074758733312, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 441384.

It is an unprimeable number.

441384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1099 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (35235).

2⁴⁴¹³⁸⁴ 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 441384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563760).

441384 is an abundant number, since it is smaller than the sum of its proper divisors (686136).

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

441384 is a wasteful number, since it uses less digits than its factorization.

441384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 441384 is about 664.3673682534. The cubic root of 441384 is about 76.1387125085.

The spelling of 441384 in words is "four hundred forty-one thousand, three hundred eighty-four".