482801980032 has 512 divisors, whose sum is σ = 1554499584000. Its totient is φ = 148847569920.

The previous prime is 482801980027. The next prime is 482801980033. The reversal of 482801980032 is 230089108284.

482801980032 is a `hidden beast` number, since 482 + 80 + 1 + 98 + 0 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 482801980032.

It is not an unprimeable number, because it can be changed into a prime (482801980033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228706657 + ... + 228708767.

It is an arithmetic number, because the mean of its divisors is an integer number (3036132000).

Almost surely, 2^482801980032 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 482801980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777249792000).

482801980032 is an abundant number, since it is smaller than the sum of its proper divisors (1071697603968).

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

482801980032 is an equidigital number, since it uses as much as digits as its factorization.

482801980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 482801980032 in words is "four hundred eighty-two billion, eight hundred one million, nine hundred eighty thousand, thirty-two".