409993216 has 84 divisors (see below), whose sum is σ = 905969232. Its totient is φ = 184549376.

The previous prime is 409993201. The next prime is 409993217. The reversal of 409993216 is 612399904.

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 (409993217) 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, 17825781 + ... + 17825803.

It is an arithmetic number, because the mean of its divisors is an integer number (10785348).

Almost surely, 2^409993216 is an apocalyptic number.

409993216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

409993216 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452984616).

409993216 is an abundant number, since it is smaller than the sum of its proper divisors (495976016).

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

409993216 is an frugal number, since it uses more digits than its factorization.

409993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 409993216 is about 20248.2892116840. The cubic root of 409993216 is about 742.8917867191.

The spelling of 409993216 in words is "four hundred nine million, nine hundred ninety-three thousand, two hundred sixteen".