801609472 has 72 divisors (see below), whose sum is σ = 1635772320. Its totient is φ = 391987200.

The previous prime is 801609463. The next prime is 801609521. The reversal of 801609472 is 274906108.

801609472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3440268 + ... + 3440500.

It is an arithmetic number, because the mean of its divisors is an integer number (22719060).

Almost surely, 2^801609472 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 801609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817886160).

801609472 is an abundant number, since it is smaller than the sum of its proper divisors (834162848).

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

801609472 is a wasteful number, since it uses less digits than its factorization.

801609472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 801609472 is about 28312.7086658977. The cubic root of 801609472 is about 928.9398919753.

The spelling of 801609472 in words is "eight hundred one million, six hundred nine thousand, four hundred seventy-two".