409900516 has 27 divisors (see below), whose sum is σ = 734963593. Its totient is φ = 200030480.

The previous prime is 409900511. The next prime is 409900531. The reversal of 409900516 is 615009904.

The square root of 409900516 is 20246.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 295496100 + 114404416 = 17190^2 + 10696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409900511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2145981 + ... + 2146171.

Almost surely, 2^409900516 is an apocalyptic number.

409900516 is the 20246-th square number.

It is an amenable number.

409900516 is a deficient number, since it is larger than the sum of its proper divisors (325063077).

409900516 is an equidigital number, since it uses as much as digits as its factorization.

409900516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The cubic root of 409900516 is about 742.8357928987.

The spelling of 409900516 in words is "four hundred nine million, nine hundred thousand, five hundred sixteen".