804405000 has 320 divisors, whose sum is σ = 2951055360. Its totient is φ = 178848000.

The previous prime is 804404989. The next prime is 804405011. The reversal of 804405000 is 504408.

It is an interprime number because it is at equal distance from previous prime (804404989) and next prime (804405011).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 79 ways as a sum of consecutive naturals, for example, 4934919 + ... + 4935081.

It is an arithmetic number, because the mean of its divisors is an integer number (9222048).

Almost surely, 2^804405000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475527680).

804405000 is an abundant number, since it is smaller than the sum of its proper divisors (2146650360).

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

804405000 is a wasteful number, since it uses less digits than its factorization.

804405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 804405000 is about 28362.0344827377. The cubic root of 804405000 is about 930.0184988805.

Adding to 804405000 its reverse (504408), we get a palindrome (804909408).

The spelling of 804405000 in words is "eight hundred four million, four hundred five thousand".