405396 has 18 divisors (see below), whose sum is σ = 1024842. Its totient is φ = 135120.

The previous prime is 405373. The next prime is 405401. The reversal of 405396 is 693504.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 900 = 636^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

405396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5595 + ... + 5666.

2⁴⁰⁵³⁹⁶ is an apocalyptic number.

It is an amenable number.

405396 is an abundant number, since it is smaller than the sum of its proper divisors (619446).

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

405396 is a wasteful number, since it uses less digits than its factorization.

405396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11266 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 405396 is about 636.7071540355. The cubic root of 405396 is about 74.0104684484.

The spelling of 405396 in words is "four hundred five thousand, three hundred ninety-six".