480012 has 48 divisors (see below), whose sum is σ = 1284192. Its totient is φ = 138240.

The previous prime is 479971. The next prime is 480013. The reversal of 480012 is 210084.

It is a junction number, because it is equal to n+sod(n) for n = 479973 and 480000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480013) by changing a digit.

480012 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 15 ways as a sum of consecutive naturals, for example, 2562 + ... + 2742.

It is an arithmetic number, because the mean of its divisors is an integer number (26754).

2⁴⁸⁰⁰¹² 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 480012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096).

480012 is an abundant number, since it is smaller than the sum of its proper divisors (804180).

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

480012 is a wasteful number, since it uses less digits than its factorization.

480012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 480012 is about 692.8289832275. The cubic root of 480012 is about 78.2980052959.

Adding to 480012 its reverse (210084), we get a palindrome (690096).

It can be divided in two parts, 4800 and 12, that multiplied together give a square (57600 = 240²).

The spelling of 480012 in words is "four hundred eighty thousand, twelve".