406566 has 16 divisors (see below), whose sum is σ = 903600. Its totient is φ = 135504.

The previous prime is 406561. The next prime is 406573. The reversal of 406566 is 665604.

406566 is a `hidden beast` number, since 4 + 0 + 656 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711 + ... + 3818.

It is an arithmetic number, because the mean of its divisors is an integer number (56475).

2⁴⁰⁶⁵⁶⁶ is an apocalyptic number.

406566 is an abundant number, since it is smaller than the sum of its proper divisors (497034).

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

406566 is a wasteful number, since it uses less digits than its factorization.

406566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 406566 is about 637.6252818074. The cubic root of 406566 is about 74.0815997848.

The spelling of 406566 in words is "four hundred six thousand, five hundred sixty-six".