484446816 has 144 divisors (see below), whose sum is σ = 1613128608. Its totient is φ = 135014400.

The previous prime is 484446797. The next prime is 484446869. The reversal of 484446816 is 618644484.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79726 + ... + 85586.

It is an arithmetic number, because the mean of its divisors is an integer number (11202282).

Almost surely, 2^484446816 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 484446816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806564304).

484446816 is an abundant number, since it is smaller than the sum of its proper divisors (1128681792).

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

484446816 is a wasteful number, since it uses less digits than its factorization.

484446816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5925 (or 5914 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 484446816 is about 22010.1525664862. The cubic root of 484446816 is about 785.3839743227.

It can be divided in two parts, 4844468 and 16, that added together give a palindrome (4844484).

The spelling of 484446816 in words is "four hundred eighty-four million, four hundred forty-six thousand, eight hundred sixteen".