478416087744 has 448 divisors, whose sum is σ = 1515993464832. Its totient is φ = 130288435200.

The previous prime is 478416087739. The next prime is 478416087757. The reversal of 478416087744 is 447780614874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1445365659 + ... + 1445365989.

It is an arithmetic number, because the mean of its divisors is an integer number (3383913984).

Almost surely, 2^478416087744 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 478416087744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757996732416).

478416087744 is an abundant number, since it is smaller than the sum of its proper divisors (1037577377088).

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

478416087744 is a wasteful number, since it uses less digits than its factorization.

478416087744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 60.

The spelling of 478416087744 in words is "four hundred seventy-eight billion, four hundred sixteen million, eighty-seven thousand, seven hundred forty-four".