441504 has 96 divisors (see below), whose sum is σ = 1491840. Its totient is φ = 124416.

The previous prime is 441499. The next prime is 441517. The reversal of 441504 is 405144.

441504 = T₈₄ + T₈₅ + ... + T₁₄₇.

441504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

441504 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 15 ways as a sum of consecutive naturals, for example, 6012 + ... + 6084.

It is an arithmetic number, because the mean of its divisors is an integer number (15540).

2⁴⁴¹⁵⁰⁴ 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 441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745920).

441504 is an abundant number, since it is smaller than the sum of its proper divisors (1050336).

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

441504 is a wasteful number, since it uses less digits than its factorization.

441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 441504 is about 664.4576735955. The cubic root of 441504 is about 76.1456118808.

Adding to 441504 its reverse (405144), we get a palindrome (846648).

The spelling of 441504 in words is "four hundred forty-one thousand, five hundred four".