406393 has 8 divisors (see below), whose sum is σ = 448448. Its totient is φ = 365904.

The previous prime is 406381. The next prime is 406397. The reversal of 406393 is 393604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 406393 - 2⁵ = 406361 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196 + ... + 922.

It is an arithmetic number, because the mean of its divisors is an integer number (56056).

2⁴⁰⁶³⁹³ is an apocalyptic number.

406393 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

406393 is a deficient number, since it is larger than the sum of its proper divisors (42055).

406393 is a wasteful number, since it uses less digits than its factorization.

406393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 406393 is about 637.4896077584. The cubic root of 406393 is about 74.0710906792.

Adding to 406393 its reverse (393604), we get a palindrome (799997).

The spelling of 406393 in words is "four hundred six thousand, three hundred ninety-three".