405996 has 24 divisors (see below), whose sum is σ = 989184. Its totient is φ = 129360.

The previous prime is 405991. The next prime is 405997. The reversal of 405996 is 699504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (405991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (41216).

2⁴⁰⁵⁹⁹⁶ is an apocalyptic number.

405996 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

405996 is an abundant number, since it is smaller than the sum of its proper divisors (583188).

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

405996 is a wasteful number, since it uses less digits than its factorization.

405996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 405996 is about 637.1781540511. The cubic root of 405996 is about 74.0469631280.

The spelling of 405996 in words is "four hundred five thousand, nine hundred ninety-six".