481680 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 127872.

The previous prime is 481673. The next prime is 481681. The reversal of 481680 is 86184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481680.

It is not an unprimeable number, because it can be changed into a prime (481681) by changing a digit.

481680 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, 2049 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁴⁸¹⁶⁸⁰ is an apocalyptic number.

481680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

481680 is an abundant number, since it is smaller than the sum of its proper divisors (1184880).

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

481680 is a wasteful number, since it uses less digits than its factorization.

481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 481680 is about 694.0316995642. The cubic root of 481680 is about 78.3885933703.

It can be divided in two parts, 48 and 1680, that added together give a cube (1728 = 12³).

The spelling of 481680 in words is "four hundred eighty-one thousand, six hundred eighty".