484889800 has 48 divisors (see below), whose sum is σ = 1140077700. Its totient is φ = 191769600.

The previous prime is 484889753. The next prime is 484889803. The reversal of 484889800 is 8988484.

It can be written as a sum of positive squares in 6 ways, for example, as 271788196 + 213101604 = 16486^2 + 14598^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (484889803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4180 + ... + 31420.

Almost surely, 2^484889800 is an apocalyptic number.

484889800 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 484889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570038850).

484889800 is an abundant number, since it is smaller than the sum of its proper divisors (655187900).

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

484889800 is a wasteful number, since it uses less digits than its factorization.

484889800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27346 (or 27337 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 484889800 is about 22020.2134412907. The cubic root of 484889800 is about 785.6232895799.

The spelling of 484889800 in words is "four hundred eighty-four million, eight hundred eighty-nine thousand, eight hundred".