801188472 has 64 divisors (see below), whose sum is σ = 2297940480. Its totient is φ = 228028032.

The previous prime is 801188471. The next prime is 801188497. The reversal of 801188472 is 274881108.

It is a happy number.

801188472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 801188472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801188471) 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, 35118 + ... + 53250.

It is an arithmetic number, because the mean of its divisors is an integer number (35905320).

Almost surely, 2^801188472 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 801188472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148970240).

801188472 is an abundant number, since it is smaller than the sum of its proper divisors (1496752008).

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

801188472 is a wasteful number, since it uses less digits than its factorization.

801188472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 801188472 is about 28305.2728656694. The cubic root of 801188472 is about 928.7772391321. Note that the first 3 decimals are identical.

The spelling of 801188472 in words is "eight hundred one million, one hundred eighty-eight thousand, four hundred seventy-two".