480011376 has 120 divisors (see below), whose sum is σ = 1372412160. Its totient is φ = 144438528.

The previous prime is 480011369. The next prime is 480011377. The reversal of 480011376 is 673110084.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480011377) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 380635 + ... + 381893.

It is an arithmetic number, because the mean of its divisors is an integer number (11436768).

Almost surely, 2^480011376 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 480011376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686206080).

480011376 is an abundant number, since it is smaller than the sum of its proper divisors (892400784).

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

480011376 is a wasteful number, since it uses less digits than its factorization.

480011376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 480011376 is about 21909.1619191607. The cubic root of 480011376 is about 782.9797136758.

The spelling of 480011376 in words is "four hundred eighty million, eleven thousand, three hundred seventy-six".