480712 has 8 divisors (see below), whose sum is σ = 901350. Its totient is φ = 240352.

The previous prime is 480707. The next prime is 480713. The reversal of 480712 is 217084.

480712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 256036 + 224676 = 506^2 + 474^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×480712³ = 333254594280912384, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480712.

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

480712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30037 + ... + 30052.

2⁴⁸⁰⁷¹² is an apocalyptic number.

It is an amenable number.

480712 is a deficient number, since it is larger than the sum of its proper divisors (420638).

480712 is a wasteful number, since it uses less digits than its factorization.

480712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60095 (or 60091 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 480712 is about 693.3339743587. Note that the first 3 decimals coincide. The cubic root of 480712 is about 78.3360473885.

Subtracting from 480712 its sum of digits (22), we obtain a triangular number (480690 = T₉₈₀).

Adding to 480712 its reverse (217084), we get a palindrome (697796).

The spelling of 480712 in words is "four hundred eighty thousand, seven hundred twelve".