409296896 has 56 divisors (see below), whose sum is σ = 866988360. Its totient is φ = 192544768.

The previous prime is 409296893. The next prime is 409296907. The reversal of 409296896 is 698692904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409296893) 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, 137795 + ... + 140733.

It is an arithmetic number, because the mean of its divisors is an integer number (15481935).

Almost surely, 2^409296896 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 409296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433494180).

409296896 is an abundant number, since it is smaller than the sum of its proper divisors (457691464).

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

409296896 is an equidigital number, since it uses as much as digits as its factorization.

409296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The square root of 409296896 is about 20231.0873657349. The cubic root of 409296896 is about 742.4709801338.

The spelling of 409296896 in words is "four hundred nine million, two hundred ninety-six thousand, eight hundred ninety-six".