406016 has 40 divisors (see below), whose sum is σ = 887964. Its totient is φ = 184320.

The previous prime is 406013. The next prime is 406027. The reversal of 406016 is 610604.

It can be written as a sum of positive squares in 2 ways, for example, as 313600 + 92416 = 560^2 + 304^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 405985 and 406003.

It is not an unprimeable number, because it can be changed into a prime (406013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6626 + ... + 6686.

2⁴⁰⁶⁰¹⁶ 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 406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443982).

406016 is an abundant number, since it is smaller than the sum of its proper divisors (481948).

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

406016 is an equidigital number, since it uses as much as digits as its factorization.

406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 406016 is about 637.1938480557. The cubic root of 406016 is about 74.0481789979.

The spelling of 406016 in words is "four hundred six thousand, sixteen".