409133568 has 160 divisors (see below), whose sum is σ = 1171817856. Its totient is φ = 126517248.

The previous prime is 409133561. The next prime is 409133579. The reversal of 409133568 is 865331904.

It is not an unprimeable number, because it can be changed into a prime (409133561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306980 + ... + 1307292.

Almost surely, 2^409133568 is an apocalyptic number.

409133568 is a gapful number since it is divisible by the number (48) 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 409133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585908928).

409133568 is an abundant number, since it is smaller than the sum of its proper divisors (762684288).

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

409133568 is a wasteful number, since it uses less digits than its factorization.

409133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 409133568 is about 20227.0504028640. The cubic root of 409133568 is about 742.3722071442.

The spelling of 409133568 in words is "four hundred nine million, one hundred thirty-three thousand, five hundred sixty-eight".