405966 has 16 divisors (see below), whose sum is σ = 885888. Its totient is φ = 123000.

The previous prime is 405959. The next prime is 405967. The reversal of 405966 is 669504.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405967) by changing a digit.

405966 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 7 ways as a sum of consecutive naturals, for example, 3010 + ... + 3141.

It is an arithmetic number, because the mean of its divisors is an integer number (55368).

2⁴⁰⁵⁹⁶⁶ is an apocalyptic number.

405966 is an abundant number, since it is smaller than the sum of its proper divisors (479922).

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

405966 is a wasteful number, since it uses less digits than its factorization.

405966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 405966 is about 637.1546123195. The cubic root of 405966 is about 74.0451392483.

It can be divided in two parts, 40 and 5966, that added together give a palindrome (6006).

The spelling of 405966 in words is "four hundred five thousand, nine hundred sixty-six".