804989440 has 160 divisors (see below), whose sum is σ = 2088147600. Its totient is φ = 296484864.

The previous prime is 804989417. The next prime is 804989447. The reversal of 804989440 is 44989408.

It is a happy number.

804989440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 638269696 + 166719744 = 25264^2 + 12912^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (804989447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2306386 + ... + 2306734.

Almost surely, 2^804989440 is an apocalyptic number.

804989440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044073800).

804989440 is an abundant number, since it is smaller than the sum of its proper divisors (1283158160).

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

804989440 is a wasteful number, since it uses less digits than its factorization.

804989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 804989440 is about 28372.3358220644. The cubic root of 804989440 is about 930.2436791601.

The spelling of 804989440 in words is "eight hundred four million, nine hundred eighty-nine thousand, four hundred forty".