486480 has 40 divisors (see below), whose sum is σ = 1508832. Its totient is φ = 129664.

The previous prime is 486449. The next prime is 486481. The reversal of 486480 is 84684.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486481) by changing a digit.

486480 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 7 ways as a sum of consecutive naturals, for example, 774 + ... + 1253.

2⁴⁸⁶⁴⁸⁰ is an apocalyptic number.

486480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

486480 is an abundant number, since it is smaller than the sum of its proper divisors (1022352).

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

486480 is a wasteful number, since it uses less digits than its factorization.

486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2037 counting only the distinct ones).

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

The square root of 486480 is about 697.4811825419. The cubic root of 486480 is about 78.6481171751.

The spelling of 486480 in words is "four hundred eighty-six thousand, four hundred eighty".