482322252672 has 320 divisors, whose sum is σ = 1636734330000. Its totient is φ = 139676368896.

The previous prime is 482322252653. The next prime is 482322252677. The reversal of 482322252672 is 276252223284.

482322252672 is a `hidden beast` number, since 4 + 8 + 2 + 32 + 22 + 526 + 72 = 666.

It is a super-2 number, since 2×482322252672² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482322252677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2186079 + ... + 2396577.

Almost surely, 2^482322252672 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 482322252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818367165000).

482322252672 is an abundant number, since it is smaller than the sum of its proper divisors (1154412077328).

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

482322252672 is a wasteful number, since it uses less digits than its factorization.

482322252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210555 (or 210534 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 482322252672 in words is "four hundred eighty-two billion, three hundred twenty-two million, two hundred fifty-two thousand, six hundred seventy-two".