829278252 has 72 divisors (see below), whose sum is σ = 2290356432. Its totient is φ = 250905600.

The previous prime is 829278251. The next prime is 829278257. The reversal of 829278252 is 252872928.

It is a junction number, because it is equal to n+sod(n) for n = 829278198 and 829278207.

It is not an unprimeable number, because it can be changed into a prime (829278251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347688 + ... + 350064.

It is an arithmetic number, because the mean of its divisors is an integer number (31810506).

Almost surely, 2^829278252 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 829278252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145178216).

829278252 is an abundant number, since it is smaller than the sum of its proper divisors (1461078180).

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

829278252 is a wasteful number, since it uses less digits than its factorization.

829278252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3274 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 829278252 is about 28797.1917380845. The cubic root of 829278252 is about 939.5071552562.

The spelling of 829278252 in words is "eight hundred twenty-nine million, two hundred seventy-eight thousand, two hundred fifty-two".