480447 has 24 divisors (see below), whose sum is σ = 793728. Its totient is φ = 277200.

The previous prime is 480427. The next prime is 480449. The reversal of 480447 is 744084.

It is not a de Polignac number, because 480447 - 2⁶ = 480383 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 480447.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2172 + ... + 2382.

It is an arithmetic number, because the mean of its divisors is an integer number (33072).

2⁴⁸⁰⁴⁴⁷ is an apocalyptic number.

480447 is a deficient number, since it is larger than the sum of its proper divisors (313281).

480447 is a wasteful number, since it uses less digits than its factorization.

480447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 480447 is about 693.1428424214. The cubic root of 480447 is about 78.3216500859.

It can be divided in two parts, 4804 and 47, that added together give a triangular number (4851 = T₉₈).

The spelling of 480447 in words is "four hundred eighty thousand, four hundred forty-seven".