829303488 has 448 divisors, whose sum is σ = 2901696000. Its totient is φ = 229920768.

The previous prime is 829303487. The next prime is 829303493. The reversal of 829303488 is 884303928.

829303488 is a `hidden beast` number, since 82 + 93 + 0 + 3 + 488 = 666.

It is a super-2 number, since 2×829303488² = 1375488550417932288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829303481) 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 63 ways as a sum of consecutive naturals, for example, 12377631 + ... + 12377697.

It is an arithmetic number, because the mean of its divisors is an integer number (6477000).

Almost surely, 2^829303488 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 829303488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450848000).

829303488 is an abundant number, since it is smaller than the sum of its proper divisors (2072392512).

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

829303488 is a wasteful number, since it uses less digits than its factorization.

829303488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

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

The square root of 829303488 is about 28797.6299024763. The cubic root of 829303488 is about 939.5166852951.

The spelling of 829303488 in words is "eight hundred twenty-nine million, three hundred three thousand, four hundred eighty-eight".