409208960 has 64 divisors (see below), whose sum is σ = 981837720. Its totient is φ = 163086336.

The previous prime is 409208957. The next prime is 409208971. The reversal of 409208960 is 69802904.

It can be written as a sum of positive squares in 4 ways, for example, as 298874944 + 110334016 = 17288^2 + 10504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201872 + ... + 203888.

Almost surely, 2^409208960 is an apocalyptic number.

409208960 is a gapful number since it is divisible by the number (40) 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 409208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490918860).

409208960 is an abundant number, since it is smaller than the sum of its proper divisors (572628760).

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

409208960 is a wasteful number, since it uses less digits than its factorization.

409208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 409208960 is about 20228.9139599732. The cubic root of 409208960 is about 742.4178038982.

The spelling of 409208960 in words is "four hundred nine million, two hundred eight thousand, nine hundred sixty".