409098816 has 224 divisors, whose sum is σ = 1420124160. Its totient is φ = 113011200.

The previous prime is 409098803. The next prime is 409098821. The reversal of 409098816 is 618890904.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374431 + ... + 375521.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 2^409098816 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 409098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710062080).

409098816 is an abundant number, since it is smaller than the sum of its proper divisors (1011025344).

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

409098816 is a wasteful number, since it uses less digits than its factorization.

409098816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 409098816 is about 20226.1913369769. The cubic root of 409098816 is about 742.3511873996.

The spelling of 409098816 in words is "four hundred nine million, ninety-eight thousand, eight hundred sixteen".