829384992 has 54 divisors (see below), whose sum is σ = 2359954233. Its totient is φ = 276298752.

The previous prime is 829384961. The next prime is 829385021. The reversal of 829384992 is 299483928.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 571975056 + 257409936 = 23916^2 + 16044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20364.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 487888 + ... + 489584.

Almost surely, 2^829384992 is an apocalyptic number.

It is an amenable number.

829384992 is an abundant number, since it is smaller than the sum of its proper divisors (1530569241).

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

829384992 is an equidigital number, since it uses as much as digits as its factorization.

829384992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 1702 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 829384992 is about 28799.0449841657. The cubic root of 829384992 is about 939.5474628736.

The spelling of 829384992 in words is "eight hundred twenty-nine million, three hundred eighty-four thousand, nine hundred ninety-two".