409216 has 32 divisors (see below), whose sum is σ = 856800. Its totient is φ = 194304.

The previous prime is 409187. The next prime is 409217. The reversal of 409216 is 612904.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (409217) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2875 + ... + 3013.

It is an arithmetic number, because the mean of its divisors is an integer number (26775).

2⁴⁰⁹²¹⁶ is an apocalyptic number.

409216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428400).

409216 is an abundant number, since it is smaller than the sum of its proper divisors (447584).

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

409216 is a wasteful number, since it uses less digits than its factorization.

409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 409216 is about 639.6999296545. The cubic root of 409216 is about 74.2422061374.

It can be divided in two parts, 409 and 216, that added together give a 4-th power (625 = 5⁴).

The spelling of 409216 in words is "four hundred nine thousand, two hundred sixteen".