405936 has 30 divisors (see below), whose sum is σ = 1136460. Its totient is φ = 135264.

The previous prime is 405917. The next prime is 405947. The reversal of 405936 is 639504.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1266 + ... + 1553.

It is an arithmetic number, because the mean of its divisors is an integer number (37882).

2⁴⁰⁵⁹³⁶ is an apocalyptic number.

It is an amenable number.

405936 is an abundant number, since it is smaller than the sum of its proper divisors (730524).

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

405936 is a wasteful number, since it uses less digits than its factorization.

405936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2824 counting only the distinct ones).

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

The square root of 405936 is about 637.1310697180. The cubic root of 405936 is about 74.0433152788.

It can be divided in two parts, 4059 and 36, that added together give a triangular number (4095 = T₉₀).

The spelling of 405936 in words is "four hundred five thousand, nine hundred thirty-six".