408393 has 6 divisors (see below), whose sum is σ = 589914. Its totient is φ = 272256.

The previous prime is 408389. The next prime is 408403. The reversal of 408393 is 393804.

It can be written as a sum of positive squares in only one way, i.e., 356409 + 51984 = 597^2 + 228^2 .

It is not a de Polignac number, because 408393 - 2² = 408389 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (401393) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22680 + ... + 22697.

It is an arithmetic number, because the mean of its divisors is an integer number (98319).

2⁴⁰⁸³⁹³ is an apocalyptic number.

It is an amenable number.

408393 is a deficient number, since it is larger than the sum of its proper divisors (181521).

408393 is a wasteful number, since it uses less digits than its factorization.

408393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45383 (or 45380 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 408393 is about 639.0563355448. The cubic root of 408393 is about 74.1924016795.

The spelling of 408393 in words is "four hundred eight thousand, three hundred ninety-three".