829577472 has 72 divisors (see below), whose sum is σ = 2213602944. Its totient is φ = 275810304.

The previous prime is 829577423. The next prime is 829577531. The reversal of 829577472 is 274775928.

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 7 ways as a sum of consecutive naturals, for example, 354418 + ... + 356750.

Almost surely, 2^829577472 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 829577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106801472).

829577472 is an abundant number, since it is smaller than the sum of its proper divisors (1384025472).

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

829577472 is a wasteful number, since it uses less digits than its factorization.

829577472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2801 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 829577472 is about 28802.3865677829. The cubic root of 829577472 is about 939.6201392580.

The spelling of 829577472 in words is "eight hundred twenty-nine million, five hundred seventy-seven thousand, four hundred seventy-two".