804351456 has 72 divisors (see below), whose sum is σ = 2316394080. Its totient is φ = 264715776.

The previous prime is 804351419. The next prime is 804351461. The reversal of 804351456 is 654153408.

It is a happy number.

804351456 is a `hidden beast` number, since 80 + 435 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 804351456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5076 + ... + 40428.

It is an arithmetic number, because the mean of its divisors is an integer number (32172140).

Almost surely, 2^804351456 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 804351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158197040).

804351456 is an abundant number, since it is smaller than the sum of its proper divisors (1512042624).

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

804351456 is a wasteful number, since it uses less digits than its factorization.

804351456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35448 (or 35437 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 804351456 is about 28361.0905291034. The cubic root of 804351456 is about 929.9978633319.

The spelling of 804351456 in words is "eight hundred four million, three hundred fifty-one thousand, four hundred fifty-six".