409608576 has 192 divisors, whose sum is σ = 1317672720. Its totient is φ = 125908992.

The previous prime is 409608559. The next prime is 409608581. The reversal of 409608576 is 675806904.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403846 + ... + 404858.

Almost surely, 2^409608576 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 409608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658836360).

409608576 is an abundant number, since it is smaller than the sum of its proper divisors (908064144).

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

409608576 is a wasteful number, since it uses less digits than its factorization.

409608576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 409608576 is about 20238.7888965718. The cubic root of 409608576 is about 742.6593964494.

The spelling of 409608576 in words is "four hundred nine million, six hundred eight thousand, five hundred seventy-six".