409360896 has 300 divisors, whose sum is σ = 1415518962. Its totient is φ = 113799168.

The previous prime is 409360891. The next prime is 409360907. The reversal of 409360896 is 698063904.

It can be written as a sum of positive squares in only one way, i.e., 271063296 + 138297600 = 16464^2 + 11760^2 .

It is not an unprimeable number, because it can be changed into a prime (409360891) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11063790 + ... + 11063826.

Almost surely, 2^409360896 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 409360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707759481).

409360896 is an abundant number, since it is smaller than the sum of its proper divisors (1006158066).

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

409360896 is an frugal number, since it uses more digits than its factorization.

409360896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 409360896 is about 20232.6690280843. The cubic root of 409360896 is about 742.5096771177.

The spelling of 409360896 in words is "four hundred nine million, three hundred sixty thousand, eight hundred ninety-six".