409199860 has 96 divisors (see below), whose sum is σ = 962357760. Its totient is φ = 145410048.

The previous prime is 409199837. The next prime is 409199867. The reversal of 409199860 is 68991904.

It is a self number, because there is not a number n which added to its sum of digits gives 409199860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409199867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462979 + ... + 463861.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^409199860 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 409199860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

409199860 is an abundant number, since it is smaller than the sum of its proper divisors (553157900).

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

409199860 is a wasteful number, since it uses less digits than its factorization.

409199860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 409199860 is about 20228.6890331529. The cubic root of 409199860 is about 742.4123005550.

The spelling of 409199860 in words is "four hundred nine million, one hundred ninety-nine thousand, eight hundred sixty".