480766208 has 36 divisors (see below), whose sum is σ = 1033481148. Its totient is φ = 221890560.

The previous prime is 480766207. The next prime is 480766219. The reversal of 480766208 is 802667084.

It can be written as a sum of positive squares in 2 ways, for example, as 199600384 + 281165824 = 14128^2 + 16768^2 .

It is a super-3 number, since 3×480766208³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480766207) 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 3 ways as a sum of consecutive naturals, for example, 68903 + ... + 75558.

Almost surely, 2^480766208 is an apocalyptic number.

It is an amenable number.

480766208 is an abundant number, since it is smaller than the sum of its proper divisors (552714940).

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

480766208 is a wasteful number, since it uses less digits than its factorization.

480766208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144490 (or 144476 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 480766208 is about 21926.3815528235. The cubic root of 480766208 is about 783.3899182705.

The spelling of 480766208 in words is "four hundred eighty million, seven hundred sixty-six thousand, two hundred eight".