480441 has 16 divisors (see below), whose sum is σ = 702464. Its totient is φ = 290304.

The previous prime is 480427. The next prime is 480449. The reversal of 480441 is 144084.

It is not a de Polignac number, because 480441 - 2⁵ = 480409 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480441.

It is not an unprimeable number, because it can be changed into a prime (480449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3720 + ... + 3846.

It is an arithmetic number, because the mean of its divisors is an integer number (43904).

2⁴⁸⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

480441 is a deficient number, since it is larger than the sum of its proper divisors (222023).

480441 is a wasteful number, since it uses less digits than its factorization.

480441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

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

The square root of 480441 is about 693.1385142957. The cubic root of 480441 is about 78.3213240480.

The spelling of 480441 in words is "four hundred eighty thousand, four hundred forty-one".