409363668 has 72 divisors (see below), whose sum is σ = 1194869312. Its totient is φ = 115748352.

The previous prime is 409363667. The next prime is 409363687. The reversal of 409363668 is 866363904.

409363668 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 636 + 6 + 8 = 666.

It is a super-2 number, since 2×409363668² = 335157225356828448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409363667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16071 + ... + 32817.

Almost surely, 2^409363668 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 409363668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597434656).

409363668 is an abundant number, since it is smaller than the sum of its proper divisors (785505644).

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

409363668 is a wasteful number, since it uses less digits than its factorization.

409363668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861 (or 16856 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 409363668 is about 20232.7375310411. The cubic root of 409363668 is about 742.5113530897.

The spelling of 409363668 in words is "four hundred nine million, three hundred sixty-three thousand, six hundred sixty-eight".