478699891200 has 1260 divisors, whose sum is σ = 1871834010618. Its totient is φ = 121230950400.

The previous prime is 478699891169. The next prime is 478699891211. The reversal of 478699891200 is 2198996874.

478699891200 is a `hidden beast` number, since 478 + 69 + 9 + 89 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 345067776 + 478354823424 = 18576^2 + 691632^2 .

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 125 ways as a sum of consecutive naturals, for example, 7847539170 + ... + 7847539230.

Almost surely, 2^478699891200 is an apocalyptic number.

478699891200 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 478699891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935917005309).

478699891200 is an abundant number, since it is smaller than the sum of its proper divisors (1393134119418).

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

478699891200 is an frugal number, since it uses more digits than its factorization.

478699891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 478699891200 in words is "four hundred seventy-eight billion, six hundred ninety-nine million, eight hundred ninety-one thousand, two hundred".