405696 has 28 divisors (see below), whose sum is σ = 1073912. Its totient is φ = 135168.

The previous prime is 405689. The next prime is 405701. The reversal of 405696 is 696504.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405696.

It is an unprimeable number.

405696 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 3 ways as a sum of consecutive naturals, for example, 865 + ... + 1248.

It is an arithmetic number, because the mean of its divisors is an integer number (38354).

2⁴⁰⁵⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

405696 is an abundant number, since it is smaller than the sum of its proper divisors (668216).

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

405696 is a wasteful number, since it uses less digits than its factorization.

405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 405696 is about 636.9426975796. The cubic root of 405696 is about 74.0287202860.

It can be divided in two parts, 4056 and 96, that multiplied together give a square (389376 = 624²).

The spelling of 405696 in words is "four hundred five thousand, six hundred ninety-six".