829374516 has 72 divisors (see below), whose sum is σ = 2123756544. Its totient is φ = 272885760.

The previous prime is 829374449. The next prime is 829374517. The reversal of 829374516 is 615473928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829374517) 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 23 ways as a sum of consecutive naturals, for example, 1293556 + ... + 1294196.

Almost surely, 2^829374516 is an apocalyptic number.

It is an amenable number.

829374516 is an abundant number, since it is smaller than the sum of its proper divisors (1294382028).

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

829374516 is a wasteful number, since it uses less digits than its factorization.

829374516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1056 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 829374516 is about 28798.8631025601. The cubic root of 829374516 is about 939.5435070345.

The spelling of 829374516 in words is "eight hundred twenty-nine million, three hundred seventy-four thousand, five hundred sixteen".