480508022472228 has 144 divisors (see below), whose sum is σ = 1289894021161200. Its totient is φ = 150298957209600.

The previous prime is 480508022472223. The next prime is 480508022472253. The reversal of 480508022472228 is 822274220805084.

480508022472228 is a `hidden beast` number, since 4 + 8 + 0 + 50 + 80 + 22 + 472 + 2 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19515260441664 + 460992762030564 = 4417608^2 + 21470742^2 .

It is not an unprimeable number, because it can be changed into a prime (480508022472223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995005088 + ... + 1995245928.

It is an arithmetic number, because the mean of its divisors is an integer number (8957597369175).

Almost surely, 2^{480508022472228} 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 480508022472228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644947010580600).

480508022472228 is an abundant number, since it is smaller than the sum of its proper divisors (809385998688972).

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

480508022472228 is a wasteful number, since it uses less digits than its factorization.

480508022472228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250558 (or 250553 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 480508022472228 in words is "four hundred eighty trillion, five hundred eight billion, twenty-two million, four hundred seventy-two thousand, two hundred twenty-eight".