804205486224 has 240 divisors, whose sum is σ = 2786825238912. Its totient is φ = 211227512832.

The previous prime is 804205486219. The next prime is 804205486243. The reversal of 804205486224 is 422684502408.

804205486224 is a `hidden beast` number, since 8 + 0 + 4 + 20 + 548 + 62 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 804205486224.

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 47 ways as a sum of consecutive naturals, for example, 191142 + ... + 1282554.

Almost surely, 2^804205486224 is an apocalyptic number.

804205486224 is a gapful number since it is divisible by the number (84) 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 804205486224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393412619456).

804205486224 is an abundant number, since it is smaller than the sum of its proper divisors (1982619752688).

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

804205486224 is a wasteful number, since it uses less digits than its factorization.

804205486224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091494 (or 1091485 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 804205486224 in words is "eight hundred four billion, two hundred five million, four hundred eighty-six thousand, two hundred twenty-four".