481244288 has 72 divisors (see below), whose sum is σ = 1119296745. Its totient is φ = 205502976.

The previous prime is 481244273. The next prime is 481244329. The reversal of 481244288 is 882442184.

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 2 ways, for example, as 422384704 + 58859584 = 20552^2 + 7672^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15512.

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

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 8 ways as a sum of consecutive naturals, for example, 1737206 + ... + 1737482.

Almost surely, 2^481244288 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 481244288

481244288 is an abundant number, since it is smaller than the sum of its proper divisors (638052457).

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

481244288 is an frugal number, since it uses more digits than its factorization.

481244288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 286 counting only the distinct ones).

The product of its digits is 131072, while the sum is 41.

The square root of 481244288 is about 21937.2807795315. The cubic root of 481244288 is about 783.6495031934.

Multiplying 481244288 by its product of digits (131072), we get a square (63077651316736 = 7942144²).

The spelling of 481244288 in words is "four hundred eighty-one million, two hundred forty-four thousand, two hundred eighty-eight".