804264192 has 108 divisors (see below), whose sum is σ = 2399053020. Its totient is φ = 258822144.

The previous prime is 804264157. The next prime is 804264193. The reversal of 804264192 is 291462408.

804264192 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 641 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152176896 + 652087296 = 12336^2 + 25536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (804264193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60798 + ... + 72834.

Almost surely, 2^804264192 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 804264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199526510).

804264192 is an abundant number, since it is smaller than the sum of its proper divisors (1594788828).

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

804264192 is a wasteful number, since it uses less digits than its factorization.

804264192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 804264192 is about 28359.5520415961. The cubic root of 804264192 is about 929.9642303273.

The spelling of 804264192 in words is "eight hundred four million, two hundred sixty-four thousand, one hundred ninety-two".