481380 has 48 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 125440.

The previous prime is 481379. The next prime is 481387. The reversal of 481380 is 83184.

It is a self number, because there is not a number n which added to its sum of digits gives 481380.

It is not an unprimeable number, because it can be changed into a prime (481387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4204 + ... + 4316.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁴⁸¹³⁸⁰ 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 481380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

481380 is an abundant number, since it is smaller than the sum of its proper divisors (897564).

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

481380 is a wasteful number, since it uses less digits than its factorization.

481380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 481380 is about 693.8155374449. The cubic root of 481380 is about 78.3723159926.

It can be divided in two parts, 481 and 380, that added together give a triangular number (861 = T₄₁).

The spelling of 481380 in words is "four hundred eighty-one thousand, three hundred eighty".