480835208 has 128 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 185794560.

The previous prime is 480835207. The next prime is 480835241. The reversal of 480835208 is 802538084.

It is a super-3 number, since 3×480835208³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480835207) 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, 3786041 + ... + 3786167.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2^480835208 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 480835208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

480835208 is an abundant number, since it is smaller than the sum of its proper divisors (657156472).

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

480835208 is a wasteful number, since it uses less digits than its factorization.

480835208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 480835208 is about 21927.9549434050. The cubic root of 480835208 is about 783.4273940870.

The spelling of 480835208 in words is "four hundred eighty million, eight hundred thirty-five thousand, two hundred eight".