480117 has 8 divisors (see below), whose sum is σ = 698400. Its totient is φ = 290960.

The previous prime is 480113. The next prime is 480133. The reversal of 480117 is 711084.

480117 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480117 - 2² = 480113 is a prime.

480117 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 480093 and 480102.

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 480117.

It is not an unprimeable number, because it can be changed into a prime (480113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7242 + ... + 7307.

It is an arithmetic number, because the mean of its divisors is an integer number (87300).

2⁴⁸⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

480117 is a deficient number, since it is larger than the sum of its proper divisors (218283).

480117 is a wasteful number, since it uses less digits than its factorization.

480117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14563.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 480117 is about 692.9047553596. The cubic root of 480117 is about 78.3037139665.

The spelling of 480117 in words is "four hundred eighty thousand, one hundred seventeen".