481905 has 12 divisors (see below), whose sum is σ = 835380. Its totient is φ = 256992.

The previous prime is 481883. The next prime is 481909. The reversal of 481905 is 509184.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 136161 = 588^2 + 369^2 .

It is not a de Polignac number, because 481905 - 2¹⁰ = 480881 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (481909) 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 11 ways as a sum of consecutive naturals, for example, 5310 + ... + 5399.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

2⁴⁸¹⁹⁰⁵ is an apocalyptic number.

481905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481905 is a deficient number, since it is larger than the sum of its proper divisors (353475).

481905 is a wasteful number, since it uses less digits than its factorization.

481905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10717 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 481905 is about 694.1937769816. The cubic root of 481905 is about 78.4007969689.

It can be divided in two parts, 48 and 1905, that added together give a triangular number (1953 = T₆₂).

The spelling of 481905 in words is "four hundred eighty-one thousand, nine hundred five".