405116 has 6 divisors (see below), whose sum is σ = 708960. Its totient is φ = 202556.

The previous prime is 405091. The next prime is 405143. The reversal of 405116 is 611504.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 405094 and 405103.

It is a congruent number.

It is an unprimeable number.

405116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50636 + ... + 50643.

It is an arithmetic number, because the mean of its divisors is an integer number (118160).

2⁴⁰⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

405116 is a deficient number, since it is larger than the sum of its proper divisors (303844).

405116 is a wasteful number, since it uses less digits than its factorization.

405116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101283 (or 101281 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 405116 is about 636.4872347502. The cubic root of 405116 is about 73.9934252742.

The spelling of 405116 in words is "four hundred five thousand, one hundred sixteen".