484829440 has 72 divisors (see below), whose sum is σ = 1186174080. Its totient is φ = 189782016.

The previous prime is 484829419. The next prime is 484829447. The reversal of 484829440 is 44928484.

It is not an unprimeable number, because it can be changed into a prime (484829447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56131 + ... + 64189.

It is an arithmetic number, because the mean of its divisors is an integer number (16474640).

Almost surely, 2^484829440 is an apocalyptic number.

484829440 is a gapful number since it is divisible by the number (40) 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 484829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593087040).

484829440 is an abundant number, since it is smaller than the sum of its proper divisors (701344640).

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

484829440 is an equidigital number, since it uses as much as digits as its factorization.

484829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 484829440 is about 22018.8428397134. The cubic root of 484829440 is about 785.5906896025.

The spelling of 484829440 in words is "four hundred eighty-four million, eight hundred twenty-nine thousand, four hundred forty".