480500820 has 144 divisors (see below), whose sum is σ = 1530023040. Its totient is φ = 121828608.

The previous prime is 480500777. The next prime is 480500827. The reversal of 480500820 is 28005084.

480500820 is a `hidden beast` number, since 4 + 80 + 500 + 82 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480500827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146571 + ... + 1146989.

It is an arithmetic number, because the mean of its divisors is an integer number (10625160).

Almost surely, 2^480500820 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 480500820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765011520).

480500820 is an abundant number, since it is smaller than the sum of its proper divisors (1049522220).

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

480500820 is a wasteful number, since it uses less digits than its factorization.

480500820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 480500820 is about 21920.3289208899. The cubic root of 480500820 is about 783.2457452492.

The spelling of 480500820 in words is "four hundred eighty million, five hundred thousand, eight hundred twenty".