480048414 has 48 divisors (see below), whose sum is σ = 1072975248. Its totient is φ = 142665984.

The previous prime is 480048407. The next prime is 480048419. The reversal of 480048414 is 414840084.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480048419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30304 + ... + 43340.

It is an arithmetic number, because the mean of its divisors is an integer number (22353651).

Almost surely, 2^480048414 is an apocalyptic number.

480048414 is an abundant number, since it is smaller than the sum of its proper divisors (592926834).

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

480048414 is a wasteful number, since it uses less digits than its factorization.

480048414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 480048414 is about 21910.0071656766. The cubic root of 480048414 is about 782.9998515713. Note that the first 3 decimals are identical.

Adding to 480048414 its reverse (414840084), we get a palindrome (894888498).

The spelling of 480048414 in words is "four hundred eighty million, forty-eight thousand, four hundred fourteen".