829674432 has 84 divisors (see below), whose sum is σ = 2408346720. Its totient is φ = 273042432.

The previous prime is 829674413. The next prime is 829674457. The reversal of 829674432 is 234476928.

829674432 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 2×829674432² = 1376719326229045248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36388 + ... + 54620.

Almost surely, 2^829674432 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 829674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204173360).

829674432 is an abundant number, since it is smaller than the sum of its proper divisors (1578672288).

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

829674432 is a wasteful number, since it uses less digits than its factorization.

829674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18330 (or 18317 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 829674432 is about 28804.0697124556. The cubic root of 829674432 is about 939.6567450494.

It can be divided in two parts, 8296 and 74432, that added together give a palindrome (82728).

The spelling of 829674432 in words is "eight hundred twenty-nine million, six hundred seventy-four thousand, four hundred thirty-two".