482642647200 has 720 divisors, whose sum is σ = 2041698947904. Its totient is φ = 108664934400.

The previous prime is 482642647139. The next prime is 482642647217. The reversal of 482642647200 is 2746246284.

482642647200 is a `hidden beast` number, since 482 + 6 + 42 + 64 + 72 + 0 + 0 = 666.

482642647200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30383260 + ... + 30399140.

Almost surely, 2^482642647200 is an apocalyptic number.

482642647200 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 482642647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020849473952).

482642647200 is an abundant number, since it is smaller than the sum of its proper divisors (1559056300704).

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

482642647200 is a wasteful number, since it uses less digits than its factorization.

482642647200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15987 (or 15965 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 482642647200 in words is "four hundred eighty-two billion, six hundred forty-two million, six hundred forty-seven thousand, two hundred".