484812800 has 144 divisors (see below), whose sum is σ = 1275035580. Its totient is φ = 182190080.

The previous prime is 484812799. The next prime is 484812803. The reversal of 484812800 is 8218484.

It can be written as a sum of positive squares in 6 ways, for example, as 131974144 + 352838656 = 11488^2 + 18784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484812803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 870122 + ... + 870678.

Almost surely, 2^484812800 is an apocalyptic number.

484812800 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 484812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637517790).

484812800 is an abundant number, since it is smaller than the sum of its proper divisors (790222780).

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

484812800 is a wasteful number, since it uses less digits than its factorization.

484812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 484812800 is about 22018.4649782858. The cubic root of 484812800 is about 785.5817019892.

The spelling of 484812800 in words is "four hundred eighty-four million, eight hundred twelve thousand, eight hundred".