409641813 has 80 divisors (see below), whose sum is σ = 726019200. Its totient is φ = 228191040.

The previous prime is 409641811. The next prime is 409641829. The reversal of 409641813 is 318146904.

409641813 is a `hidden beast` number, since 4 + 0 + 9 + 641 + 8 + 1 + 3 = 666.

It is not a de Polignac number, because 409641813 - 2¹ = 409641811 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409641811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4602673 + ... + 4602761.

It is an arithmetic number, because the mean of its divisors is an integer number (9075240).

Almost surely, 2^409641813 is an apocalyptic number.

It is an amenable number.

409641813 is a deficient number, since it is larger than the sum of its proper divisors (316377387).

409641813 is an frugal number, since it uses more digits than its factorization.

409641813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 409641813 is about 20239.6100011833. The cubic root of 409641813 is about 742.6794831893.

The spelling of 409641813 in words is "four hundred nine million, six hundred forty-one thousand, eight hundred thirteen".