829505496 has 64 divisors (see below), whose sum is σ = 2213740800. Its totient is φ = 258249600.

The previous prime is 829505489. The next prime is 829505503. The reversal of 829505496 is 694505928.

It is an interprime number because it is at equal distance from previous prime (829505489) and next prime (829505503).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19566 + ... + 45186.

It is an arithmetic number, because the mean of its divisors is an integer number (34589700).

Almost surely, 2^829505496 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 829505496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106870400).

829505496 is an abundant number, since it is smaller than the sum of its proper divisors (1384235304).

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

829505496 is a wasteful number, since it uses less digits than its factorization.

829505496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25720 (or 25716 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 829505496 is about 28801.1370608870. The cubic root of 829505496 is about 939.5929639560.

The spelling of 829505496 in words is "eight hundred twenty-nine million, five hundred five thousand, four hundred ninety-six".