482206005360 has 400 divisors, whose sum is σ = 1776857702400. Its totient is φ = 120857329152.

The previous prime is 482206005311. The next prime is 482206005377. The reversal of 482206005360 is 63500602284.

482206005360 is a `hidden beast` number, since 48 + 2 + 2 + 0 + 600 + 5 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15620821 + ... + 15651659.

It is an arithmetic number, because the mean of its divisors is an integer number (4442144256).

Almost surely, 2^482206005360 is an apocalyptic number.

482206005360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482206005360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888428851200).

482206005360 is an abundant number, since it is smaller than the sum of its proper divisors (1294651697040).

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

482206005360 is a wasteful number, since it uses less digits than its factorization.

482206005360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31010 (or 30995 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 482206005360 in words is "four hundred eighty-two billion, two hundred six million, five thousand, three hundred sixty".