829729449 has 24 divisors (see below), whose sum is σ = 1282975200. Its totient is φ = 515151360.

The previous prime is 829729441. The next prime is 829729471. The reversal of 829729449 is 944927928.

829729449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829729449 - 2³ = 829729441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829729395 and 829729404.

It is not an unprimeable number, because it can be changed into a prime (829729441) 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, 31032 + ... + 51209.

It is an arithmetic number, because the mean of its divisors is an integer number (53457300).

Almost surely, 2^829729449 is an apocalyptic number.

It is an amenable number.

829729449 is a deficient number, since it is larger than the sum of its proper divisors (453245751).

829729449 is a wasteful number, since it uses less digits than its factorization.

829729449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82325 (or 82322 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 829729449 is about 28805.0247179203. The cubic root of 829729449 is about 939.6775146229.

The spelling of 829729449 in words is "eight hundred twenty-nine million, seven hundred twenty-nine thousand, four hundred forty-nine".