829489152 has 68 divisors (see below), whose sum is σ = 2212478480. Its totient is φ = 276430848.

The previous prime is 829489151. The next prime is 829489159. The reversal of 829489152 is 251984928.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (829489151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 194499 + ... + 198717.

Almost surely, 2^829489152 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 829489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106239240).

829489152 is an abundant number, since it is smaller than the sum of its proper divisors (1382989328).

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

829489152 is an frugal number, since it uses more digits than its factorization.

829489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4224 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 829489152 is about 28800.8533206917. The cubic root of 829489152 is about 939.5867928865.

The spelling of 829489152 in words is "eight hundred twenty-nine million, four hundred eighty-nine thousand, one hundred fifty-two".