481342344 has 128 divisors (see below), whose sum is σ = 1468938240. Its totient is φ = 128443392.

The previous prime is 481342331. The next prime is 481342357. The reversal of 481342344 is 443243184.

It is an interprime number because it is at equal distance from previous prime (481342331) and next prime (481342357).

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 31 ways as a sum of consecutive naturals, for example, 164704 + ... + 167600.

It is an arithmetic number, because the mean of its divisors is an integer number (11476080).

Almost surely, 2^481342344 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 481342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734469120).

481342344 is an abundant number, since it is smaller than the sum of its proper divisors (987595896).

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

481342344 is a wasteful number, since it uses less digits than its factorization.

481342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2975 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 481342344 is about 21939.5155826194. The cubic root of 481342344 is about 783.7027237851.

The spelling of 481342344 in words is "four hundred eighty-one million, three hundred forty-two thousand, three hundred forty-four".