409113696 has 192 divisors, whose sum is σ = 1192181760. Its totient is φ = 122411520.

The previous prime is 409113659. The next prime is 409113743. The reversal of 409113696 is 696311904.

It is a congruent number.

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, 2943195 + ... + 2943333.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2^409113696 is an apocalyptic number.

409113696 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409113696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090880).

409113696 is an abundant number, since it is smaller than the sum of its proper divisors (783068064).

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

409113696 is a wasteful number, since it uses less digits than its factorization.

409113696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 409113696 is about 20226.5591735223. The cubic root of 409113696 is about 742.3601877122.

The spelling of 409113696 in words is "four hundred nine million, one hundred thirteen thousand, six hundred ninety-six".