484821288 has 120 divisors (see below), whose sum is σ = 1579757850. Its totient is φ = 138511296.

The previous prime is 484821277. The next prime is 484821289. The reversal of 484821288 is 882128484.

484821288 is a `hidden beast` number, since 48 + 482 + 128 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421809444 + 63011844 = 20538^2 + 7938^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (484821289) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24118 + ... + 39386.

Almost surely, 2^484821288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484821288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789878925).

484821288 is an abundant number, since it is smaller than the sum of its proper divisors (1094936562).

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

484821288 is a wasteful number, since it uses less digits than its factorization.

484821288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15301 (or 15281 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 484821288 is about 22018.6577247570. The cubic root of 484821288 is about 785.5862865619.

It can be divided in two parts, 48482 and 1288, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 484821288 in words is "four hundred eighty-four million, eight hundred twenty-one thousand, two hundred eighty-eight".