480168976 has 80 divisors (see below), whose sum is σ = 1130713344. Its totient is φ = 193070592.

The previous prime is 480168919. The next prime is 480168989. The reversal of 480168976 is 679861084.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134770 + ... + 138286.

Almost surely, 2^480168976 is an apocalyptic number.

480168976 is a gapful number since it is divisible by the number (46) 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 480168976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565356672).

480168976 is an abundant number, since it is smaller than the sum of its proper divisors (650544368).

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

480168976 is a wasteful number, since it uses less digits than its factorization.

480168976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 480168976 is about 21912.7582928302. The cubic root of 480168976 is about 783.0653950482.

The spelling of 480168976 in words is "four hundred eighty million, one hundred sixty-eight thousand, nine hundred seventy-six".