829482496 has 80 divisors (see below), whose sum is σ = 1768922496. Its totient is φ = 387219456.

The previous prime is 829482481. The next prime is 829482499. The reversal of 829482496 is 694284928.

It is a super-2 number, since 2×829482496² = 1376082422340780032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829482499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366225 + ... + 1366831.

Almost surely, 2^829482496 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 829482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884461248).

829482496 is an abundant number, since it is smaller than the sum of its proper divisors (939440000).

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

829482496 is a wasteful number, since it uses less digits than its factorization.

829482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 783 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 829482496 is about 28800.7377683281. The cubic root of 829482496 is about 939.5842797307.

The spelling of 829482496 in words is "eight hundred twenty-nine million, four hundred eighty-two thousand, four hundred ninety-six".