481080 has 64 divisors (see below), whose sum is σ = 1526400. Its totient is φ = 120960.

The previous prime is 481073. The next prime is 481087. The reversal of 481080 is 80184.

It is an interprime number because it is at equal distance from previous prime (481073) and next prime (481087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2175 + ... + 2385.

It is an arithmetic number, because the mean of its divisors is an integer number (23850).

2⁴⁸¹⁰⁸⁰ is an apocalyptic number.

481080 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 481080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763200).

481080 is an abundant number, since it is smaller than the sum of its proper divisors (1045320).

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

481080 is a wasteful number, since it uses less digits than its factorization.

481080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 481080 is about 693.5993079581. The cubic root of 481080 is about 78.3560318507.

It can be divided in two parts, 48 and 1080, that added together give a triangular number (1128 = T₄₇).

The spelling of 481080 in words is "four hundred eighty-one thousand, eighty".