829325952 has 384 divisors, whose sum is σ = 3056376960. Its totient is φ = 217976832.

The previous prime is 829325947. The next prime is 829325969. The reversal of 829325952 is 259523928.

829325952 is a `hidden beast` number, since 8 + 29 + 32 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 829325898 and 829325907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830318 + ... + 2830610.

It is an arithmetic number, because the mean of its divisors is an integer number (7959315).

Almost surely, 2^829325952 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 829325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528188480).

829325952 is an abundant number, since it is smaller than the sum of its proper divisors (2227051008).

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

829325952 is a wasteful number, since it uses less digits than its factorization.

829325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 829325952 is about 28798.0199319328. The cubic root of 829325952 is about 939.5251683626.

The spelling of 829325952 in words is "eight hundred twenty-nine million, three hundred twenty-five thousand, nine hundred fifty-two".