409473289801 has 9 divisors (see below), whose sum is σ = 432171622701. Its totient is φ = 387910545804.

The previous prime is 409473289793. The next prime is 409473289811. The reversal of 409473289801 is 108982374904.

The square root of 409473289801 is 639901.

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

It is not a de Polignac number, because 409473289801 - 2³ = 409473289793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409473289811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12141280 + ... + 12174958.

It is an arithmetic number, because the mean of its divisors is an integer number (48019069189).

Almost surely, 2^409473289801 is an apocalyptic number.

409473289801 is the 639901-st square number.

409473289801 is the 319951-st centered octagonal number.

It is an amenable number.

409473289801 is a deficient number, since it is larger than the sum of its proper divisors (22698332900).

409473289801 is an frugal number, since it uses more digits than its factorization.

409473289801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67396 (or 33698 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 409473289801 in words is "four hundred nine billion, four hundred seventy-three million, two hundred eighty-nine thousand, eight hundred one".