482908608000 has 2560 divisors, whose sum is σ = 2282133934080. Its totient is φ = 97940275200.

The previous prime is 482908607947. The next prime is 482908608029. The reversal of 482908608000 is 806809284.

It is a happy number.

482908608000 is a `hidden beast` number, since 482 + 90 + 8 + 6 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5818175959 + ... + 5818176041.

It is an arithmetic number, because the mean of its divisors is an integer number (891458568).

Almost surely, 2^482908608000 is an apocalyptic number.

482908608000 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 482908608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141066967040).

482908608000 is an abundant number, since it is smaller than the sum of its proper divisors (1799225326080).

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

482908608000 is a wasteful number, since it uses less digits than its factorization.

482908608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

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

The spelling of 482908608000 in words is "four hundred eighty-two billion, nine hundred eight million, six hundred eight thousand".