478585497600 has 1728 divisors, whose sum is σ = 2135844547200. Its totient is φ = 102877102080.

The previous prime is 478585497589. The next prime is 478585497647. The reversal of 478585497600 is 6794585874.

478585497600 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 85 + 497 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 3493324732 + ... + 3493324868.

It is an arithmetic number, because the mean of its divisors is an integer number (1236021150).

Almost surely, 2^478585497600 is an apocalyptic number.

478585497600 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 478585497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067922273600).

478585497600 is an abundant number, since it is smaller than the sum of its proper divisors (1657259049600).

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

478585497600 is a wasteful number, since it uses less digits than its factorization.

478585497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 478585497600 in words is "four hundred seventy-eight billion, five hundred eighty-five million, four hundred ninety-seven thousand, six hundred".