477920025168 has 160 divisors (see below), whose sum is σ = 1264039096320. Its totient is φ = 155559191040.

The previous prime is 477920025157. The next prime is 477920025173. The reversal of 477920025168 is 861520029774.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 477920025168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208971321 + ... + 208973607.

It is an arithmetic number, because the mean of its divisors is an integer number (7900244352).

Almost surely, 2^477920025168 is an apocalyptic number.

477920025168 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 477920025168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632019548160).

477920025168 is an abundant number, since it is smaller than the sum of its proper divisors (786119071152).

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

477920025168 is a wasteful number, since it uses less digits than its factorization.

477920025168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 477920025168 in words is "four hundred seventy-seven billion, nine hundred twenty million, twenty-five thousand, one hundred sixty-eight".