829713456 has 400 divisors, whose sum is σ = 2921458848. Its totient is φ = 225815040.

The previous prime is 829713427. The next prime is 829713457. The reversal of 829713456 is 654317928.

It is not an unprimeable number, because it can be changed into a prime (829713457) 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 79 ways as a sum of consecutive naturals, for example, 22424670 + ... + 22424706.

Almost surely, 2^829713456 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 829713456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460729424).

829713456 is an abundant number, since it is smaller than the sum of its proper divisors (2091745392).

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

829713456 is a wasteful number, since it uses less digits than its factorization.

829713456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

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

The square root of 829713456 is about 28804.7471087666. The cubic root of 829713456 is about 939.6714771694.

The spelling of 829713456 in words is "eight hundred twenty-nine million, seven hundred thirteen thousand, four hundred fifty-six".