480864 has 24 divisors (see below), whose sum is σ = 1262520. Its totient is φ = 160256.

The previous prime is 480853. The next prime is 480881. The reversal of 480864 is 468084.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×480864³ = 333570817197637632, which contains 333 as substring.

480864 is a modest number, since divided by 864 gives 480 as remainder.

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 480864.

It is an unprimeable number.

480864 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 3 ways as a sum of consecutive naturals, for example, 2409 + ... + 2600.

It is an arithmetic number, because the mean of its divisors is an integer number (52605).

2⁴⁸⁰⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

480864 is an abundant number, since it is smaller than the sum of its proper divisors (781656).

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

480864 is a wasteful number, since it uses less digits than its factorization.

480864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5014 counting only the distinct ones).

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

The square root of 480864 is about 693.4435809783. The cubic root of 480864 is about 78.3443030762.

The spelling of 480864 in words is "four hundred eighty thousand, eight hundred sixty-four".