405473 has 2 divisors, whose sum is σ = 405474. Its totient is φ = 405472.

The previous prime is 405439. The next prime is 405487. The reversal of 405473 is 374504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 351649 + 53824 = 593^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 405473 - 2¹⁰ = 404449 is a prime.

It is not a weakly prime, because it can be changed into another prime (405413) 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 as a sum of consecutive naturals, namely, 202736 + 202737.

It is an arithmetic number, because the mean of its divisors is an integer number (202737).

2⁴⁰⁵⁴⁷³ is an apocalyptic number.

It is an amenable number.

405473 is a deficient number, since it is larger than the sum of its proper divisors (1).

405473 is an equidigital number, since it uses as much as digits as its factorization.

405473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 405473 is about 636.7676185234. The cubic root of 405473 is about 74.0151539455.

Subtracting from 405473 its sum of digits (23), we obtain a triangular number (405450 = T₉₀₀).

Adding to 405473 its reverse (374504), we get a palindrome (779977).

It can be divided in two parts, 405 and 473, that added together give a palindrome (878).

The spelling of 405473 in words is "four hundred five thousand, four hundred seventy-three".