480612 has 36 divisors (see below), whose sum is σ = 1236368. Its totient is φ = 145200.

The previous prime is 480587. The next prime is 480647. The reversal of 480612 is 216084.

480612 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480612³ = 333046661917742784, which contains 333 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480612.

It is an unprimeable number.

480612 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 in 11 ways as a sum of consecutive naturals, for example, 1287 + ... + 1617.

2⁴⁸⁰⁶¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618184).

480612 is an abundant number, since it is smaller than the sum of its proper divisors (755756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480612 is a wasteful number, since it uses less digits than its factorization.

480612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 480612 is about 693.2618552899. The cubic root of 480612 is about 78.3306150659.

Adding to 480612 its reverse (216084), we get a palindrome (696696).

The spelling of 480612 in words is "four hundred eighty thousand, six hundred twelve".