829486812 has 144 divisors (see below), whose sum is σ = 2524015872. Its totient is φ = 205962240.

The previous prime is 829486793. The next prime is 829486817. The reversal of 829486812 is 218684928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829486817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487948 + ... + 489644.

It is an arithmetic number, because the mean of its divisors is an integer number (17527888).

Almost surely, 2^829486812 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 829486812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262007936).

829486812 is an abundant number, since it is smaller than the sum of its proper divisors (1694529060).

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

829486812 is a wasteful number, since it uses less digits than its factorization.

829486812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1743 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 829486812 is about 28800.8126968667. The cubic root of 829486812 is about 939.5859093567.

The spelling of 829486812 in words is "eight hundred twenty-nine million, four hundred eighty-six thousand, eight hundred twelve".