478247328000 has 2016 divisors, whose sum is σ = 2049287909760. Its totient is φ = 110182809600.

The previous prime is 478247327993. The next prime is 478247328029. The reversal of 478247328000 is 823742874.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 5762015959 + ... + 5762016041.

It is an arithmetic number, because the mean of its divisors is an integer number (1016511860).

Almost surely, 2^478247328000 is an apocalyptic number.

478247328000 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 478247328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024643954880).

478247328000 is an abundant number, since it is smaller than the sum of its proper divisors (1571040581760).

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

478247328000 is an equidigital number, since it uses as much as digits as its factorization.

478247328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 478247328000 in words is "four hundred seventy-eight billion, two hundred forty-seven million, three hundred twenty-eight thousand".