409666688 has 24 divisors (see below), whose sum is σ = 816589305. Its totient is φ = 204718848.

The previous prime is 409666687. The next prime is 409666693. The reversal of 409666688 is 886666904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 298321984 + 111344704 = 17272^2 + 10552^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14312.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409666687) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 228098 + ... + 229886.

Almost surely, 2^409666688 is an apocalyptic number.

It is an amenable number.

409666688 is a deficient number, since it is larger than the sum of its proper divisors (406922617).

409666688 is an frugal number, since it uses more digits than its factorization.

409666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The square root of 409666688 is about 20240.2245046837. The cubic root of 409666688 is about 742.6945156539.

The spelling of 409666688 in words is "four hundred nine million, six hundred sixty-six thousand, six hundred eighty-eight".