482904483264 has 294 divisors, whose sum is σ = 1671315533664. Its totient is φ = 137972056320.

The previous prime is 482904483233. The next prime is 482904483283. The reversal of 482904483264 is 462384409284.

It is a happy number.

482904483264 is a `hidden beast` number, since 4 + 82 + 90 + 448 + 32 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (294).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 482904483264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2180529 + ... + 2391759.

Almost surely, 2^482904483264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482904483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835657766832).

482904483264 is an abundant number, since it is smaller than the sum of its proper divisors (1188411050400).

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

482904483264 is an equidigital number, since it uses as much as digits as its factorization.

482904483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211275 (or 211243 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 482904483264 in words is "four hundred eighty-two billion, nine hundred four million, four hundred eighty-three thousand, two hundred sixty-four".