481980 has 48 divisors (see below), whose sum is σ = 1401120. Its totient is φ = 123648.

The previous prime is 481963. The next prime is 481997. The reversal of 481980 is 89184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481963) and next prime (481997).

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

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 481980.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1602 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (29190).

2⁴⁸¹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700560).

481980 is an abundant number, since it is smaller than the sum of its proper divisors (919140).

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

481980 is a wasteful number, since it uses less digits than its factorization.

481980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 481980 is about 694.2477943789. The cubic root of 481980 is about 78.4048639909.

The spelling of 481980 in words is "four hundred eighty-one thousand, nine hundred eighty".