829480 has 32 divisors (see below), whose sum is σ = 1895400. Its totient is φ = 326656.

The previous prime is 829469. The next prime is 829501. The reversal of 829480 is 84928.

It can be written as a sum of positive squares in 4 ways, for example, as 412164 + 417316 = 642^2 + 646^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3444 + ... + 3676.

2⁸²⁹⁴⁸⁰ 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 829480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947700).

829480 is an abundant number, since it is smaller than the sum of its proper divisors (1065920).

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

829480 is a wasteful number, since it uses less digits than its factorization.

829480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 829480 is about 910.7579261253. The cubic root of 829480 is about 93.9583337294.

The spelling of 829480 in words is "eight hundred twenty-nine thousand, four hundred eighty".