829584480 has 96 divisors (see below), whose sum is σ = 2625896448. Its totient is φ = 220147200.

The previous prime is 829584473. The next prime is 829584491. The reversal of 829584480 is 84485928.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97185 + ... + 105375.

It is an arithmetic number, because the mean of its divisors is an integer number (27353088).

Almost surely, 2^829584480 is an apocalyptic number.

829584480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312948224).

829584480 is an abundant number, since it is smaller than the sum of its proper divisors (1796311968).

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

829584480 is a wasteful number, since it uses less digits than its factorization.

829584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8412 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 829584480 is about 28802.5082241113. The cubic root of 829584480 is about 939.6227851188.

The spelling of 829584480 in words is "eight hundred twenty-nine million, five hundred eighty-four thousand, four hundred eighty".