441480 has 64 divisors (see below), whose sum is σ = 1431360. Its totient is φ = 108288.

The previous prime is 441479. The next prime is 441499. The reversal of 441480 is 84144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1419 + ... + 1701.

It is an arithmetic number, because the mean of its divisors is an integer number (22365).

2⁴⁴¹⁴⁸⁰ is an apocalyptic number.

441480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715680).

441480 is an abundant number, since it is smaller than the sum of its proper divisors (989880).

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

441480 is a wasteful number, since it uses less digits than its factorization.

441480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

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

The square root of 441480 is about 664.4396135090. The cubic root of 441480 is about 76.1442321063.

The spelling of 441480 in words is "four hundred forty-one thousand, four hundred eighty".