480973636416 has 448 divisors, whose sum is σ = 1689725173248. Its totient is φ = 117131968512.

The previous prime is 480973636379. The next prime is 480973636417. The reversal of 480973636416 is 614636379084.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×480973636416³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480973636417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15726996 + ... + 15757548.

It is an arithmetic number, because the mean of its divisors is an integer number (3771707976).

Almost surely, 2^480973636416 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 480973636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844862586624).

480973636416 is an abundant number, since it is smaller than the sum of its proper divisors (1208751536832).

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

480973636416 is a wasteful number, since it uses less digits than its factorization.

480973636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30658 (or 30648 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 480973636416 in words is "four hundred eighty billion, nine hundred seventy-three million, six hundred thirty-six thousand, four hundred sixteen".