482813472960 has 2016 divisors, whose sum is σ = 2221038683136. Its totient is φ = 97193779200.

The previous prime is 482813472917. The next prime is 482813472979. The reversal of 482813472960 is 69274318284.

482813472960 is a `hidden beast` number, since 4 + 8 + 2 + 8 + 1 + 347 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 482813472897 and 482813472906.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6800189725 + ... + 6800189795.

It is an arithmetic number, because the mean of its divisors is an integer number (1101705696).

Almost surely, 2^482813472960 is an apocalyptic number.

482813472960 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 482813472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110519341568).

482813472960 is an abundant number, since it is smaller than the sum of its proper divisors (1738225210176).

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

482813472960 is a wasteful number, since it uses less digits than its factorization.

482813472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

It can be divided in two parts, 4828134 and 72960, that added together give a palindrome (4901094).

The spelling of 482813472960 in words is "four hundred eighty-two billion, eight hundred thirteen million, four hundred seventy-two thousand, nine hundred sixty".