480576 has 28 divisors (see below), whose sum is σ = 1272032. Its totient is φ = 160128.

The previous prime is 480569. The next prime is 480583. The reversal of 480576 is 675084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480569) and next prime (480583).

It is a nialpdrome in base 16.

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 480576.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1060 + ... + 1443.

2⁴⁸⁰⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

480576 is an abundant number, since it is smaller than the sum of its proper divisors (791456).

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

480576 is a wasteful number, since it uses less digits than its factorization.

480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 480576 is about 693.2358905885. The cubic root of 480576 is about 78.3286592453.

The spelling of 480576 in words is "four hundred eighty thousand, five hundred seventy-six".