480209850 has 96 divisors (see below), whose sum is σ = 1345896000. Its totient is φ = 125864640.

The previous prime is 480209843. The next prime is 480209867. The reversal of 480209850 is 58902084.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76636 + ... + 82664.

It is an arithmetic number, because the mean of its divisors is an integer number (14019750).

Almost surely, 2^480209850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480209850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672948000).

480209850 is an abundant number, since it is smaller than the sum of its proper divisors (865686150).

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

480209850 is a wasteful number, since it uses less digits than its factorization.

480209850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6098 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 480209850 is about 21913.6909259942. The cubic root of 480209850 is about 783.0876136896.

The spelling of 480209850 in words is "four hundred eighty million, two hundred nine thousand, eight hundred fifty".