409796608 has 102 divisors (see below), whose sum is σ = 911467734. Its totient is φ = 184025088.

The previous prime is 409796581. The next prime is 409796623. The reversal of 409796608 is 806697904.

It can be written as a sum of positive squares in 3 ways, for example, as 21233664 + 388562944 = 4608^2 + 19712^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 11075566 + ... + 11075602.

Almost surely, 2^409796608 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 409796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455733867).

409796608 is an abundant number, since it is smaller than the sum of its proper divisors (501671126).

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

409796608 is an frugal number, since it uses more digits than its factorization.

409796608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 409796608 is about 20243.4337008325. The cubic root of 409796608 is about 742.7730190453.

The spelling of 409796608 in words is "four hundred nine million, seven hundred ninety-six thousand, six hundred eight".