480438336 has 168 divisors, whose sum is σ = 1491813120. Its totient is φ = 136055808.

The previous prime is 480438323. The next prime is 480438353. The reversal of 480438336 is 633834084.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 480438294 and 480438303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2097870 + ... + 2098098.

It is an arithmetic number, because the mean of its divisors is an integer number (8879840).

Almost surely, 2^480438336 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 480438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745906560).

480438336 is an abundant number, since it is smaller than the sum of its proper divisors (1011374784).

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

480438336 is a wasteful number, since it uses less digits than its factorization.

480438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 480438336 is about 21918.9036222161. The cubic root of 480438336 is about 783.2117928627.

The spelling of 480438336 in words is "four hundred eighty million, four hundred thirty-eight thousand, three hundred thirty-six".