804593416 has 64 divisors (see below), whose sum is σ = 1718372160. Its totient is φ = 349920000.

The previous prime is 804593407. The next prime is 804593441. The reversal of 804593416 is 614395408.

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 15 ways as a sum of consecutive naturals, for example, 196591 + ... + 200641.

It is an arithmetic number, because the mean of its divisors is an integer number (26849565).

Almost surely, 2^804593416 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 804593416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859186080).

804593416 is an abundant number, since it is smaller than the sum of its proper divisors (913778744).

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

804593416 is a wasteful number, since it uses less digits than its factorization.

804593416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 804593416 is about 28365.3559117456. The cubic root of 804593416 is about 930.0911060398.

The spelling of 804593416 in words is "eight hundred four million, five hundred ninety-three thousand, four hundred sixteen".