405916 has 36 divisors (see below), whose sum is σ = 877800. Its totient is φ = 163296.

The previous prime is 405901. The next prime is 405917. The reversal of 405916 is 619504.

405916 = T₆₃ + T₆₄ + ... + T₁₃₈.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3670 + ... + 3778.

2⁴⁰⁵⁹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438900).

405916 is an abundant number, since it is smaller than the sum of its proper divisors (471884).

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

405916 is a wasteful number, since it uses less digits than its factorization.

405916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 405916 is about 637.1153741670. The cubic root of 405916 is about 74.0420992491.

The spelling of 405916 in words is "four hundred five thousand, nine hundred sixteen".