480717 has 12 divisors (see below), whose sum is σ = 717184. Its totient is φ = 309960.

The previous prime is 480713. The next prime is 480731. The reversal of 480717 is 717084.

It is not a de Polignac number, because 480717 - 2² = 480713 is a prime.

It is a super-3 number, since 3×480717³ = 333264993170285439, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480717.

It is not an unprimeable number, because it can be changed into a prime (480713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583 + ... + 1140.

2⁴⁸⁰⁷¹⁷ is an apocalyptic number.

It is an amenable number.

480717 is a deficient number, since it is larger than the sum of its proper divisors (236467).

480717 is a wasteful number, since it uses less digits than its factorization.

480717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 480717 is about 693.3375801152. The cubic root of 480717 is about 78.3363189848.

Subtracting from 480717 its sum of digits (27), we obtain a triangular number (480690 = T₉₈₀).

The spelling of 480717 in words is "four hundred eighty thousand, seven hundred seventeen".