478085587200 has 1944 divisors, whose sum is σ = 2051310145248. Its totient is φ = 109724958720.

The previous prime is 478085587139. The next prime is 478085587241. The reversal of 478085587200 is 2785580874.

478085587200 is a `hidden beast` number, since 4 + 7 + 80 + 8 + 558 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4468089547 + ... + 4468089653.

It is an arithmetic number, because the mean of its divisors is an integer number (1055200692).

Almost surely, 2^478085587200 is an apocalyptic number.

478085587200 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 478085587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025655072624).

478085587200 is an abundant number, since it is smaller than the sum of its proper divisors (1573224558048).

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

478085587200 is a wasteful number, since it uses less digits than its factorization.

478085587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 478085587200 in words is "four hundred seventy-eight billion, eighty-five million, five hundred eighty-seven thousand, two hundred".