405093 has 24 divisors (see below), whose sum is σ = 632448. Its totient is φ = 229632.

The previous prime is 405091. The next prime is 405143. The reversal of 405093 is 390504.

It is not a de Polignac number, because 405093 - 2¹ = 405091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8596 + ... + 8642.

It is an arithmetic number, because the mean of its divisors is an integer number (26352).

2⁴⁰⁵⁰⁹³ is an apocalyptic number.

It is an amenable number.

405093 is a deficient number, since it is larger than the sum of its proper divisors (227355).

405093 is a wasteful number, since it uses less digits than its factorization.

405093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 405093 is about 636.4691665745. The cubic root of 405093 is about 73.9920249501.

Adding to 405093 its reverse (390504), we get a palindrome (795597).

The spelling of 405093 in words is "four hundred five thousand, ninety-three".