480509949696 has 432 divisors, whose sum is σ = 1509183115776. Its totient is φ = 135318822912.

The previous prime is 480509949679. The next prime is 480509949769. The reversal of 480509949696 is 696949905084.

It is a self number, because there is not a number n which added to its sum of digits gives 480509949696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986673165 + ... + 986673651.

Almost surely, 2^480509949696 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 480509949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754591557888).

480509949696 is an abundant number, since it is smaller than the sum of its proper divisors (1028673166080).

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

480509949696 is a wasteful number, since it uses less digits than its factorization.

480509949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 69.

The spelling of 480509949696 in words is "four hundred eighty billion, five hundred nine million, nine hundred forty-nine thousand, six hundred ninety-six".