409666752 has 336 divisors, whose sum is σ = 1397934720. Its totient is φ = 113356800.

The previous prime is 409666723. The next prime is 409666753. The reversal of 409666752 is 257666904.

It is a junction number, because it is equal to n+sod(n) for n = 409666698 and 409666707.

It is not an unprimeable number, because it can be changed into a prime (409666753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4935703 + ... + 4935785.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2^409666752 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 409666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

409666752 is an abundant number, since it is smaller than the sum of its proper divisors (988267968).

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

409666752 is a wasteful number, since it uses less digits than its factorization.

409666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 409666752 is about 20240.2260856938. The cubic root of 409666752 is about 742.6945543296.

The spelling of 409666752 in words is "four hundred nine million, six hundred sixty-six thousand, seven hundred fifty-two".