829070472 has 64 divisors (see below), whose sum is σ = 2185056000. Its totient is φ = 261417024.

The previous prime is 829070461. The next prime is 829070497. The reversal of 829070472 is 274070928.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 829070472.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 511279 + ... + 512897.

It is an arithmetic number, because the mean of its divisors is an integer number (34141500).

Almost surely, 2^829070472 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 829070472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092528000).

829070472 is an abundant number, since it is smaller than the sum of its proper divisors (1355985528).

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

829070472 is a wasteful number, since it uses less digits than its factorization.

829070472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 829070472 is about 28793.5838686330. The cubic root of 829070472 is about 939.4286825593.

The spelling of 829070472 in words is "eight hundred twenty-nine million, seventy thousand, four hundred seventy-two".