484341312 has 224 divisors, whose sum is σ = 1661363200. Its totient is φ = 120932352.

The previous prime is 484341311. The next prime is 484341317. The reversal of 484341312 is 213143484.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 484341312.

It is not an unprimeable number, because it can be changed into a prime (484341311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331239 + ... + 332697.

It is an arithmetic number, because the mean of its divisors is an integer number (7416800).

Almost surely, 2^484341312 is an apocalyptic number.

484341312 is a gapful number since it is divisible by the number (42) 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 484341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830681600).

484341312 is an abundant number, since it is smaller than the sum of its proper divisors (1177021888).

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

484341312 is a wasteful number, since it uses less digits than its factorization.

484341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 484341312 is about 22007.7557238352. The cubic root of 484341312 is about 785.3269559090.

Adding to 484341312 its reverse (213143484), we get a palindrome (697484796).

The spelling of 484341312 in words is "four hundred eighty-four million, three hundred forty-one thousand, three hundred twelve".