804213932256 has 288 divisors, whose sum is σ = 2647644330240. Its totient is φ = 226809980928.

The previous prime is 804213932251. The next prime is 804213932267. The reversal of 804213932256 is 652239312408.

804213932256 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 1 + 393 + 2 + 256 = 666.

804213932256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804213932251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49430235 + ... + 49446501.

It is an arithmetic number, because the mean of its divisors is an integer number (9193209480).

Almost surely, 2^804213932256 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 804213932256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323822165120).

804213932256 is an abundant number, since it is smaller than the sum of its proper divisors (1843430397984).

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

804213932256 is a wasteful number, since it uses less digits than its factorization.

804213932256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16606 (or 16595 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 804213932256 in words is "eight hundred four billion, two hundred thirteen million, nine hundred thirty-two thousand, two hundred fifty-six".