829482552 has 64 divisors (see below), whose sum is σ = 2311668000. Its totient is φ = 275588352.

The previous prime is 829482523. The next prime is 829482559. The reversal of 829482552 is 255284928.

829482552 is a `hidden beast` number, since 8 + 2 + 94 + 8 + 2 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 829482498 and 829482507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829482559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61474 + ... + 73742.

Almost surely, 2^829482552 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 829482552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155834000).

829482552 is an abundant number, since it is smaller than the sum of its proper divisors (1482185448).

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

829482552 is a wasteful number, since it uses less digits than its factorization.

829482552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12597 (or 12587 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 829482552 is about 28800.7387405254. The cubic root of 829482552 is about 939.5843008751.

The spelling of 829482552 in words is "eight hundred twenty-nine million, four hundred eighty-two thousand, five hundred fifty-two".