409418973 has 24 divisors (see below), whose sum is σ = 659131200. Its totient is φ = 243368064.

The previous prime is 409418969. The next prime is 409418981. The reversal of 409418973 is 379814904.

It is not a de Polignac number, because 409418973 - 2² = 409418969 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 (409411973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67513 + ... + 73326.

It is an arithmetic number, because the mean of its divisors is an integer number (27463800).

Almost surely, 2^409418973 is an apocalyptic number.

It is an amenable number.

409418973 is a deficient number, since it is larger than the sum of its proper divisors (249712227).

409418973 is a wasteful number, since it uses less digits than its factorization.

409418973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140881 (or 140878 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 409418973 is about 20234.1042055239. The cubic root of 409418973 is about 742.5447893262.

The spelling of 409418973 in words is "four hundred nine million, four hundred eighteen thousand, nine hundred seventy-three".