829430 has 48 divisors (see below), whose sum is σ = 1856736. Its totient is φ = 261120.

The previous prime is 829399. The next prime is 829453. The reversal of 829430 is 34928.

It is a self number, because there is not a number n which added to its sum of digits gives 829430.

It is a congruent number.

It is an unprimeable number.

829430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20210 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (38682).

2⁸²⁹⁴³⁰ is an apocalyptic number.

829430 is an abundant number, since it is smaller than the sum of its proper divisors (1027306).

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

829430 is a wasteful number, since it uses less digits than its factorization.

829430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 829430 is about 910.7304760466. The cubic root of 829430 is about 93.9564457951.

The spelling of 829430 in words is "eight hundred twenty-nine thousand, four hundred thirty".