480802952416 has 48 divisors (see below), whose sum is σ = 988349040000. Its totient is φ = 229806636928.

The previous prime is 480802952411. The next prime is 480802952417. The reversal of 480802952416 is 614259208084.

It is a super-3 number, since 3×480802952416³ (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 480802952416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480802952411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 989835 + ... + 1393333.

It is an arithmetic number, because the mean of its divisors is an integer number (20590605000).

Almost surely, 2^480802952416 is an apocalyptic number.

480802952416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

480802952416 is an abundant number, since it is smaller than the sum of its proper divisors (507546087584).

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

480802952416 is a wasteful number, since it uses less digits than its factorization.

480802952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405151 (or 405143 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 480802952416 in words is "four hundred eighty billion, eight hundred two million, nine hundred fifty-two thousand, four hundred sixteen".