481434216 has 64 divisors (see below), whose sum is σ = 1258291200. Its totient is φ = 153316800.

The previous prime is 481434199. The next prime is 481434221. The reversal of 481434216 is 612434184.

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 15 ways as a sum of consecutive naturals, for example, 54681 + ... + 62871.

It is an arithmetic number, because the mean of its divisors is an integer number (19660800).

Almost surely, 2^481434216 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 481434216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629145600).

481434216 is an abundant number, since it is smaller than the sum of its proper divisors (776856984).

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

481434216 is a wasteful number, since it uses less digits than its factorization.

481434216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8306 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 481434216 is about 21941.6092390690. The cubic root of 481434216 is about 783.7525814088.

The spelling of 481434216 in words is "four hundred eighty-one million, four hundred thirty-four thousand, two hundred sixteen".