829470 has 32 divisors (see below), whose sum is σ = 2040192. Its totient is φ = 215712.

The previous prime is 829469. The next prime is 829501. The reversal of 829470 is 74928.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969 + ... + 1611.

It is an arithmetic number, because the mean of its divisors is an integer number (63756).

2⁸²⁹⁴⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020096).

829470 is an abundant number, since it is smaller than the sum of its proper divisors (1210722).

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

829470 is a wasteful number, since it uses less digits than its factorization.

829470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 829470 is about 910.7524361757. The cubic root of 829470 is about 93.9579561486.

The spelling of 829470 in words is "eight hundred twenty-nine thousand, four hundred seventy".