408363 has 8 divisors (see below), whose sum is σ = 562176. Its totient is φ = 263400.

The previous prime is 408361. The next prime is 408379. The reversal of 408363 is 363804.

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

It is not a de Polignac number, because 408363 - 2¹ = 408361 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 408363.

It is not an unprimeable number, because it can be changed into a prime (408361) 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, 2103 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (70272).

2⁴⁰⁸³⁶³ is an apocalyptic number.

408363 is a deficient number, since it is larger than the sum of its proper divisors (153813).

408363 is a wasteful number, since it uses less digits than its factorization.

408363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 408363 is about 639.0328630047. The cubic root of 408363 is about 74.1905849437.

The spelling of 408363 in words is "four hundred eight thousand, three hundred sixty-three".