484488800 has 72 divisors (see below), whose sum is σ = 1211688072. Its totient is φ = 189056000.

The previous prime is 484488799. The next prime is 484488821. The reversal of 484488800 is 8884484.

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 11 ways as a sum of consecutive naturals, for example, 25415 + ... + 40185.

It is an arithmetic number, because the mean of its divisors is an integer number (16829001).

Almost surely, 2^484488800 is an apocalyptic number.

484488800 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 484488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605844036).

484488800 is an abundant number, since it is smaller than the sum of its proper divisors (727199272).

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

484488800 is a wasteful number, since it uses less digits than its factorization.

484488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14832 (or 14819 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 484488800 is about 22011.1062875086. The cubic root of 484488800 is about 785.4066617861.

The spelling of 484488800 in words is "four hundred eighty-four million, four hundred eighty-eight thousand, eight hundred".