480835217 has 16 divisors (see below), whose sum is σ = 510686208. Its totient is φ = 451780560.

The previous prime is 480835207. The next prime is 480835241. The reversal of 480835217 is 712538084.

It is a cyclic number.

It is not a de Polignac number, because 480835217 - 2⁶ = 480835153 is a prime.

It is a super-3 number, since 3×480835217³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 853778 + ... + 854340.

It is an arithmetic number, because the mean of its divisors is an integer number (31917888).

Almost surely, 2^480835217 is an apocalyptic number.

It is an amenable number.

480835217 is a deficient number, since it is larger than the sum of its proper divisors (29850991).

480835217 is a wasteful number, since it uses less digits than its factorization.

480835217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180.

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 480835217 is about 21927.9551486225. The cubic root of 480835217 is about 783.4273989749.

The spelling of 480835217 in words is "four hundred eighty million, eight hundred thirty-five thousand, two hundred seventeen".