829433808 has 240 divisors, whose sum is σ = 2843568000. Its totient is φ = 220299264.

The previous prime is 829433807. The next prime is 829433819. The reversal of 829433808 is 808334928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829433807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1661943 + ... + 1662441.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2^829433808 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 829433808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784000).

829433808 is an abundant number, since it is smaller than the sum of its proper divisors (2014134192).

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

829433808 is a wasteful number, since it uses less digits than its factorization.

829433808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 829433808 is about 28799.8924997994. The cubic root of 829433808 is about 939.5658958288.

The spelling of 829433808 in words is "eight hundred twenty-nine million, four hundred thirty-three thousand, eight hundred eight".