829309050 has 96 divisors (see below), whose sum is σ = 2341100160. Its totient is φ = 215740800.

The previous prime is 829309043. The next prime is 829309067. The reversal of 829309050 is 50903928.

It is a junction number, because it is equal to n+sod(n) for n = 829308996 and 829309014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47859 + ... + 62841.

It is an arithmetic number, because the mean of its divisors is an integer number (24386460).

Almost surely, 2^829309050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829309050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170550080).

829309050 is an abundant number, since it is smaller than the sum of its proper divisors (1511791110).

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

829309050 is a wasteful number, since it uses less digits than its factorization.

829309050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15045 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 829309050 is about 28797.7264727617. The cubic root of 829309050 is about 939.5187856843.

The spelling of 829309050 in words is "eight hundred twenty-nine million, three hundred nine thousand, fifty".