408315 has 16 divisors (see below), whose sum is σ = 661248. Its totient is φ = 215136.

The previous prime is 408311. The next prime is 408337. The reversal of 408315 is 513804.

It is not a de Polignac number, because 408315 - 2² = 408311 is a prime.

It is a super-2 number, since 2×408315² = 333442278450, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 408291 and 408300.

It is not an unprimeable number, because it can be changed into a prime (408311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2362 + ... + 2528.

It is an arithmetic number, because the mean of its divisors is an integer number (41328).

2⁴⁰⁸³¹⁵ is an apocalyptic number.

408315 is a deficient number, since it is larger than the sum of its proper divisors (252933).

408315 is a wasteful number, since it uses less digits than its factorization.

408315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 408315 is about 638.9953051471. The cubic root of 408315 is about 74.1876779814.

The spelling of 408315 in words is "four hundred eight thousand, three hundred fifteen".