480443580 has 144 divisors (see below), whose sum is σ = 1556755200. Its totient is φ = 119669760.

The previous prime is 480443563. The next prime is 480443599. The reversal of 480443580 is 85344084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160336 + ... + 163304.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2^480443580 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 480443580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

480443580 is an abundant number, since it is smaller than the sum of its proper divisors (1076311620).

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

480443580 is a wasteful number, since it uses less digits than its factorization.

480443580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 480443580 is about 21919.0232446612. The cubic root of 480443580 is about 783.2146424464.

It can be divided in two parts, 4804 and 43580, that added together give a palindrome (48384).

The spelling of 480443580 in words is "four hundred eighty million, four hundred forty-three thousand, five hundred eighty".