819824412 has 72 divisors (see below), whose sum is σ = 2137121280. Its totient is φ = 242581920.

The previous prime is 819824393. The next prime is 819824417. The reversal of 819824412 is 214428918.

819824412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×819824412² = 1344224133022291488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819824417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242389 + ... + 245747.

It is an arithmetic number, because the mean of its divisors is an integer number (29682240).

Almost surely, 2^819824412 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 819824412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068560640).

819824412 is an abundant number, since it is smaller than the sum of its proper divisors (1317296868).

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

819824412 is a wasteful number, since it uses less digits than its factorization.

819824412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3418 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 819824412 is about 28632.5760629392. The cubic root of 819824412 is about 935.9233491545.

The spelling of 819824412 in words is "eight hundred nineteen million, eight hundred twenty-four thousand, four hundred twelve".