480466844 has 48 divisors (see below), whose sum is σ = 995084160. Its totient is φ = 200111040.

The previous prime is 480466841. The next prime is 480466859. The reversal of 480466844 is 448664084.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 480466795 and 480466804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480466841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76487 + ... + 82529.

It is an arithmetic number, because the mean of its divisors is an integer number (20730920).

Almost surely, 2^480466844 is an apocalyptic number.

480466844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

480466844 is an abundant number, since it is smaller than the sum of its proper divisors (514617316).

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

480466844 is a wasteful number, since it uses less digits than its factorization.

480466844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6208 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The square root of 480466844 is about 21919.5539188187. The cubic root of 480466844 is about 783.2272838276.

The spelling of 480466844 in words is "four hundred eighty million, four hundred sixty-six thousand, eight hundred forty-four".