482834325600 has 720 divisors, whose sum is σ = 1926499196160. Its totient is φ = 116708428800.

The previous prime is 482834325569. The next prime is 482834325643. The reversal of 482834325600 is 6523438284.

482834325600 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 3 + 4 + 32 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 312918429 + ... + 312919971.

It is an arithmetic number, because the mean of its divisors is an integer number (2675693328).

Almost surely, 2^482834325600 is an apocalyptic number.

482834325600 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 482834325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963249598080).

482834325600 is an abundant number, since it is smaller than the sum of its proper divisors (1443664870560).

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

482834325600 is a wasteful number, since it uses less digits than its factorization.

482834325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 482834325600 in words is "four hundred eighty-two billion, eight hundred thirty-four million, three hundred twenty-five thousand, six hundred".