829446912 has 432 divisors, whose sum is σ = 2982604800. Its totient is φ = 226437120.

The previous prime is 829446889. The next prime is 829446923. The reversal of 829446912 is 219644928.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10499289 + ... + 10499367.

Almost surely, 2^829446912 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 829446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491302400).

829446912 is an abundant number, since it is smaller than the sum of its proper divisors (2153157888).

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

829446912 is a wasteful number, since it uses less digits than its factorization.

829446912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 829446912 is about 28800.1199997500. The cubic root of 829446912 is about 939.5708437850.

The spelling of 829446912 in words is "eight hundred twenty-nine million, four hundred forty-six thousand, nine hundred twelve".