478050816760 has 256 divisors, whose sum is σ = 1298007244800. Its totient is φ = 156308275200.

The previous prime is 478050816701. The next prime is 478050816769. The reversal of 478050816760 is 67618050874.

It is a junction number, because it is equal to n+sod(n) for n = 478050816698 and 478050816707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478050816769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253069896 + ... + 253071784.

It is an arithmetic number, because the mean of its divisors is an integer number (5070340800).

Almost surely, 2^478050816760 is an apocalyptic number.

478050816760 is a gapful number since it is divisible by the number (40) 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 478050816760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649003622400).

478050816760 is an abundant number, since it is smaller than the sum of its proper divisors (819956428040).

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

478050816760 is a wasteful number, since it uses less digits than its factorization.

478050816760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 478050816760 in words is "four hundred seventy-eight billion, fifty million, eight hundred sixteen thousand, seven hundred sixty".