405312 has 28 divisors (see below), whose sum is σ = 1072896. Its totient is φ = 135040.

The previous prime is 405299. The next prime is 405323. The reversal of 405312 is 213504.

It is a junction number, because it is equal to n+sod(n) for n = 405291 and 405300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 864 + ... + 1247.

2⁴⁰⁵³¹² is an apocalyptic number.

It is an amenable number.

405312 is an abundant number, since it is smaller than the sum of its proper divisors (667584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405312 is a wasteful number, since it uses less digits than its factorization.

405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 405312 is about 636.6411862266. The cubic root of 405312 is about 74.0053563203.

Adding to 405312 its reverse (213504), we get a palindrome (618816).

It can be divided in two parts, 405 and 312, that added together give a palindrome (717).

The spelling of 405312 in words is "four hundred five thousand, three hundred twelve".