406593 has 24 divisors (see below), whose sum is σ = 675360. Its totient is φ = 239760.

The previous prime is 406591. The next prime is 406631. The reversal of 406593 is 395604.

It is a happy number.

406593 is a `hidden beast` number, since 4 + 0 + 659 + 3 = 666.

It is not a de Polignac number, because 406593 - 2¹ = 406591 is a prime.

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

406593 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (406591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10971 + ... + 11007.

It is an arithmetic number, because the mean of its divisors is an integer number (28140).

2⁴⁰⁶⁵⁹³ is an apocalyptic number.

It is an amenable number.

406593 is a deficient number, since it is larger than the sum of its proper divisors (268767).

406593 is a wasteful number, since it uses less digits than its factorization.

406593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 406593 is about 637.6464537657. The cubic root of 406593 is about 74.0832396652.

It can be divided in two parts, 406 and 593, that added together give a palindrome (999).

The spelling of 406593 in words is "four hundred six thousand, five hundred ninety-three".