479416992168 has 128 divisors (see below), whose sum is σ = 1299521203200. Its totient is φ = 146893824000.

The previous prime is 479416992167. The next prime is 479416992253. The reversal of 479416992168 is 861299614974.

It is a junction number, because it is equal to n+sod(n) for n = 479416992099 and 479416992108.

It is not an unprimeable number, because it can be changed into a prime (479416992167) 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 31 ways as a sum of consecutive naturals, for example, 2879848 + ... + 3041768.

It is an arithmetic number, because the mean of its divisors is an integer number (10152509400).

Almost surely, 2^479416992168 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 479416992168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649760601600).

479416992168 is an abundant number, since it is smaller than the sum of its proper divisors (820104211032).

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

479416992168 is a wasteful number, since it uses less digits than its factorization.

479416992168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162143 (or 162139 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The spelling of 479416992168 in words is "four hundred seventy-nine billion, four hundred sixteen million, nine hundred ninety-two thousand, one hundred sixty-eight".