480420271968 has 768 divisors, whose sum is σ = 1710961459200. Its totient is φ = 114482626560.

The previous prime is 480420271963. The next prime is 480420271993. The reversal of 480420271968 is 869172024084.

It is a self number, because there is not a number n which added to its sum of digits gives 480420271968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480420271963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375621153 + ... + 375622431.

It is an arithmetic number, because the mean of its divisors is an integer number (2227814400).

Almost surely, 2^480420271968 is an apocalyptic number.

480420271968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480420271968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855480729600).

480420271968 is an abundant number, since it is smaller than the sum of its proper divisors (1230541187232).

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

480420271968 is a wasteful number, since it uses less digits than its factorization.

480420271968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 480420271968 in words is "four hundred eighty billion, four hundred twenty million, two hundred seventy-one thousand, nine hundred sixty-eight".