409816 has 16 divisors (see below), whose sum is σ = 838440. Its totient is φ = 186240.

The previous prime is 409813. The next prime is 409817. The reversal of 409816 is 618904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2241 + ... + 2416.

2⁴⁰⁹⁸¹⁶ is an apocalyptic number.

It is an amenable number.

409816 is an abundant number, since it is smaller than the sum of its proper divisors (428624).

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

409816 is a wasteful number, since it uses less digits than its factorization.

409816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 409816 is about 640.1687277585. The cubic root of 409816 is about 74.2784735123.

It can be divided in two parts, 4098 and 16, that added together give a palindrome (4114).

The spelling of 409816 in words is "four hundred nine thousand, eight hundred sixteen".