480648 has 32 divisors (see below), whose sum is σ = 1373760. Its totient is φ = 137280.

The previous prime is 480647. The next prime is 480661. The reversal of 480648 is 846084.

It is a super-3 number, since 3×480648³ = 333121507601573376, which contains 333 as substring.

480648 is a modest number, since divided by 648 gives 480 as remainder.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480648.

It is not an unprimeable number, because it can be changed into a prime (480647) 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, 1263 + ... + 1598.

It is an arithmetic number, because the mean of its divisors is an integer number (42930).

2⁴⁸⁰⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

480648 is an abundant number, since it is smaller than the sum of its proper divisors (893112).

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

480648 is a wasteful number, since it uses less digits than its factorization.

480648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 480648 is about 693.2878190189. The cubic root of 480648 is about 78.3325707888.

It can be divided in two parts, 480 and 648, that added together give a triangular number (1128 = T₄₇).

The spelling of 480648 in words is "four hundred eighty thousand, six hundred forty-eight".