409117068 has 60 divisors (see below), whose sum is σ = 1079599752. Its totient is φ = 135086400.

The previous prime is 409117067. The next prime is 409117073. The reversal of 409117068 is 860711904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (409117067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28768 + ... + 40568.

Almost surely, 2^409117068 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 409117068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539799876).

409117068 is an abundant number, since it is smaller than the sum of its proper divisors (670482684).

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

409117068 is a wasteful number, since it uses less digits than its factorization.

409117068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11924 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 409117068 is about 20226.6425291001. The cubic root of 409117068 is about 742.3622272689.

The spelling of 409117068 in words is "four hundred nine million, one hundred seventeen thousand, sixty-eight".