829432449 has 12 divisors (see below), whose sum is σ = 1204153236. Its totient is φ = 550146912.

The previous prime is 829432423. The next prime is 829432459. The reversal of 829432449 is 944234928.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 778410000 + 51022449 = 27900^2 + 7143^2 .

It is not a de Polignac number, because 829432449 - 2⁹ = 829431937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (829432459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232134 + ... + 235679.

It is an arithmetic number, because the mean of its divisors is an integer number (100346103).

Almost surely, 2^829432449 is an apocalyptic number.

It is an amenable number.

829432449 is a deficient number, since it is larger than the sum of its proper divisors (374720787).

829432449 is a wasteful number, since it uses less digits than its factorization.

829432449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468016 (or 468013 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 829432449 is about 28799.8689059516. The cubic root of 829432449 is about 939.5653826792.

The spelling of 829432449 in words is "eight hundred twenty-nine million, four hundred thirty-two thousand, four hundred forty-nine".