484227200 has 72 divisors (see below), whose sum is σ = 1199275455. Its totient is φ = 193192960.

The previous prime is 484227187. The next prime is 484227209. The reversal of 484227200 is 2722484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 61842496 + 422384704 = 7864^2 + 20552^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15560.

It is not an unprimeable number, because it can be changed into a prime (484227209) 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 8 ways as a sum of consecutive naturals, for example, 1244606 + ... + 1244994.

Almost surely, 2^484227200 is an apocalyptic number.

484227200 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 484227200

484227200 is an abundant number, since it is smaller than the sum of its proper divisors (715048255).

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

484227200 is an frugal number, since it uses more digits than its factorization.

484227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 484227200 is about 22005.1630305254. The cubic root of 484227200 is about 785.2652760797.

Adding to 484227200 its reverse (2722484), we get a palindrome (486949684).

The spelling of 484227200 in words is "four hundred eighty-four million, two hundred twenty-seven thousand, two hundred".