478626074304 has 224 divisors, whose sum is σ = 1572592435200. Its totient is φ = 125373588480.

The previous prime is 478626074293. The next prime is 478626074327. The reversal of 478626074304 is 403470626874.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×478626074304³ (a number of 36 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 489307 + ... + 1093925.

Almost surely, 2^478626074304 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 478626074304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786296217600).

478626074304 is an abundant number, since it is smaller than the sum of its proper divisors (1093966360896).

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

478626074304 is a wasteful number, since it uses less digits than its factorization.

478626074304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604691 (or 604681 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 478626074304 in words is "four hundred seventy-eight billion, six hundred twenty-six million, seventy-four thousand, three hundred four".