405315 has 12 divisors (see below), whose sum is σ = 702624. Its totient is φ = 216144.

The previous prime is 405299. The next prime is 405323. The reversal of 405315 is 513504.

It is not a de Polignac number, because 405315 - 2⁴ = 405299 is a prime.

It is an Ulam number.

405315 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4459 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (58552).

2⁴⁰⁵³¹⁵ is an apocalyptic number.

405315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405315 is a deficient number, since it is larger than the sum of its proper divisors (297309).

405315 is a wasteful number, since it uses less digits than its factorization.

405315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 405315 is about 636.6435423375. The cubic root of 405315 is about 74.0055389085.

Adding to 405315 its reverse (513504), we get a palindrome (918819).

The spelling of 405315 in words is "four hundred five thousand, three hundred fifteen".