473805 has 12 divisors (see below), whose sum is σ = 821340. Its totient is φ = 252672.

The previous prime is 473789. The next prime is 473833. The reversal of 473805 is 508374.

473805 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 2 ways, for example, as 281961 + 191844 = 531^2 + 438^2 .

It is not a de Polignac number, because 473805 - 2⁴ = 473789 is a prime.

473805 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5220 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (68445).

2⁴⁷³⁸⁰⁵ is an apocalyptic number.

473805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

473805 is a deficient number, since it is larger than the sum of its proper divisors (347535).

473805 is a wasteful number, since it uses less digits than its factorization.

473805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 473805 is about 688.3349475364. The cubic root of 473805 is about 77.9590514849.

The spelling of 473805 in words is "four hundred seventy-three thousand, eight hundred five".