409335696 has 480 divisors, whose sum is σ = 1578470400. Its totient is φ = 95800320.

The previous prime is 409335671. The next prime is 409335701. The reversal of 409335696 is 696533904.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6109455 + ... + 6109521.

It is an arithmetic number, because the mean of its divisors is an integer number (3288480).

Almost surely, 2^409335696 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 409335696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789235200).

409335696 is an abundant number, since it is smaller than the sum of its proper divisors (1169134704).

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

409335696 is a wasteful number, since it uses less digits than its factorization.

409335696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 409335696 is about 20232.0462632923. The cubic root of 409335696 is about 742.4944406617.

The spelling of 409335696 in words is "four hundred nine million, three hundred thirty-five thousand, six hundred ninety-six".