482715763200 has 1920 divisors, whose sum is σ = 2097015782400. Its totient is φ = 107495424000.

The previous prime is 482715763193. The next prime is 482715763207. The reversal of 482715763200 is 2367517284.

482715763200 is a `hidden beast` number, since 4 + 8 + 2 + 7 + 1 + 5 + 7 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (482715763193) and next prime (482715763207).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482715763207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2961446319 + ... + 2961446481.

It is an arithmetic number, because the mean of its divisors is an integer number (1092195720).

Almost surely, 2^482715763200 is an apocalyptic number.

482715763200 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 482715763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048507891200).

482715763200 is an abundant number, since it is smaller than the sum of its proper divisors (1614300019200).

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

482715763200 is a wasteful number, since it uses less digits than its factorization.

482715763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 482715763200 in words is "four hundred eighty-two billion, seven hundred fifteen million, seven hundred sixty-three thousand, two hundred".