480969617 has 16 divisors (see below), whose sum is σ = 500371200. Its totient is φ = 462084480.

The previous prime is 480969613. The next prime is 480969631. The reversal of 480969617 is 716969084.

It is a cyclic number.

It is not a de Polignac number, because 480969617 - 2² = 480969613 is a prime.

It is a super-3 number, since 3×480969617³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480969613) 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 15 ways as a sum of consecutive naturals, for example, 470567 + ... + 471587.

It is an arithmetic number, because the mean of its divisors is an integer number (31273200).

Almost surely, 2^480969617 is an apocalyptic number.

It is an amenable number.

480969617 is a deficient number, since it is larger than the sum of its proper divisors (19401583).

480969617 is a wasteful number, since it uses less digits than its factorization.

480969617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256.

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 480969617 is about 21931.0195157453. The cubic root of 480969617 is about 783.5003850555.

The spelling of 480969617 in words is "four hundred eighty million, nine hundred sixty-nine thousand, six hundred seventeen".