480993598176 has 768 divisors, whose sum is σ = 1672034918400. Its totient is φ = 117668339712.

The previous prime is 480993598159. The next prime is 480993598187. The reversal of 480993598176 is 671895399084.

It is a super-3 number, since 3×480993598176³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480993598176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 729883735 + ... + 729884393.

It is an arithmetic number, because the mean of its divisors is an integer number (2177128800).

Almost surely, 2^480993598176 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 480993598176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836017459200).

480993598176 is an abundant number, since it is smaller than the sum of its proper divisors (1191041320224).

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

480993598176 is a wasteful number, since it uses less digits than its factorization.

480993598176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 480993598176 in words is "four hundred eighty billion, nine hundred ninety-three million, five hundred ninety-eight thousand, one hundred seventy-six".