800464392 has 288 divisors, whose sum is σ = 2808449280. Its totient is φ = 203938560.

The previous prime is 800464391. The next prime is 800464411. The reversal of 800464392 is 293464008.

It is a happy number.

800464392 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 643 + 9 + 2 = 666.

800464392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (800464391) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1421503 + ... + 1422065.

It is an arithmetic number, because the mean of its divisors is an integer number (9751560).

Almost surely, 2^800464392 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 800464392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404224640).

800464392 is an abundant number, since it is smaller than the sum of its proper divisors (2007984888).

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

800464392 is a wasteful number, since it uses less digits than its factorization.

800464392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 800464392 is about 28292.4794247517. The cubic root of 800464392 is about 928.4973583701.

The spelling of 800464392 in words is "eight hundred million, four hundred sixty-four thousand, three hundred ninety-two".