481806 has 48 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 141120.

The previous prime is 481801. The next prime is 481807. The reversal of 481806 is 608184.

It is a self number, because there is not a number n which added to its sum of digits gives 481806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481801) by changing a digit.

481806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6751 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁴⁸¹⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

481806 is an abundant number, since it is smaller than the sum of its proper divisors (697554).

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

481806 is a wasteful number, since it uses less digits than its factorization.

481806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 481806 is about 694.1224675805. The cubic root of 481806 is about 78.3954278536.

It can be divided in two parts, 4 and 81806, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 481806 in words is "four hundred eighty-one thousand, eight hundred six".