829797450 has 96 divisors (see below), whose sum is σ = 2260569600. Its totient is φ = 200502720.

The previous prime is 829797439. The next prime is 829797467. The reversal of 829797450 is 54797928.

829797450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 829797393 and 829797402.

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, 59221 + ... + 71879.

It is an arithmetic number, because the mean of its divisors is an integer number (23547600).

Almost surely, 2^829797450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829797450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130284800).

829797450 is an abundant number, since it is smaller than the sum of its proper divisors (1430772150).

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

829797450 is a wasteful number, since it uses less digits than its factorization.

829797450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12711 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 829797450 is about 28806.2050607157. The cubic root of 829797450 is about 939.7031845427.

The spelling of 829797450 in words is "eight hundred twenty-nine million, seven hundred ninety-seven thousand, four hundred fifty".