480767 has 8 divisors (see below), whose sum is σ = 554016. Its totient is φ = 408672.

The previous prime is 480761. The next prime is 480773. The reversal of 480767 is 767084.

It is an interprime number because it is at equal distance from previous prime (480761) and next prime (480773).

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 480767 - 2¹⁴ = 464383 is a prime.

It is a super-3 number, since 3×480767³ = 333368993962132989, which contains 333 as substring. Note that it is a super-d number also for d = 2.

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 480767.

It is not an unprimeable number, because it can be changed into a prime (480761) 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, 1013 + ... + 1409.

It is an arithmetic number, because the mean of its divisors is an integer number (69252).

2⁴⁸⁰⁷⁶⁷ is an apocalyptic number.

480767 is a deficient number, since it is larger than the sum of its proper divisors (73249).

480767 is a wasteful number, since it uses less digits than its factorization.

480767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 480767 is about 693.3736366491. The cubic root of 480767 is about 78.3390348448.

The spelling of 480767 in words is "four hundred eighty thousand, seven hundred sixty-seven".