829353420 has 360 divisors, whose sum is σ = 3119865840. Its totient is φ = 177811200.

The previous prime is 829353407. The next prime is 829353461. The reversal of 829353420 is 24353928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8211370 + ... + 8211470.

It is an arithmetic number, because the mean of its divisors is an integer number (8666294).

Almost surely, 2^829353420 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 829353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559932920).

829353420 is an abundant number, since it is smaller than the sum of its proper divisors (2290512420).

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

829353420 is a wasteful number, since it uses less digits than its factorization.

829353420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 829353420 is about 28798.4968357725. The cubic root of 829353420 is about 939.5355408795.

The spelling of 829353420 in words is "eight hundred twenty-nine million, three hundred fifty-three thousand, four hundred twenty".