478429728000 has 1728 divisors, whose sum is σ = 2002185319680. Its totient is φ = 100638720000.

The previous prime is 478429727957. The next prime is 478429728013. The reversal of 478429728000 is 827924874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4736927950 + ... + 4736928050.

It is an arithmetic number, because the mean of its divisors is an integer number (1158672060).

Almost surely, 2^478429728000 is an apocalyptic number.

478429728000 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 478429728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001092659840).

478429728000 is an abundant number, since it is smaller than the sum of its proper divisors (1523755591680).

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

478429728000 is a wasteful number, since it uses less digits than its factorization.

478429728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 478429728000 in words is "four hundred seventy-eight billion, four hundred twenty-nine million, seven hundred twenty-eight thousand".