481005 has 32 divisors (see below), whose sum is σ = 979200. Its totient is φ = 219456.

The previous prime is 481003. The next prime is 481009. The reversal of 481005 is 500184.

It is not a de Polignac number, because 481005 - 2¹ = 481003 is a prime.

It is a super-3 number, since 3×481005³ = 333864334353225375, which contains 333 as substring.

It is a Curzon number.

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 481005.

It is not an unprimeable number, because it can be changed into a prime (481001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (30600).

2⁴⁸¹⁰⁰⁵ is an apocalyptic number.

481005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481005 is an abundant number, since it is smaller than the sum of its proper divisors (498195).

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

481005 is a wasteful number, since it uses less digits than its factorization.

481005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 481005 is about 693.5452400529. The cubic root of 481005 is about 78.3519597575.

Adding to 481005 its reverse (500184), we get a palindrome (981189).

The spelling of 481005 in words is "four hundred eighty-one thousand, five".