409972673 has 8 divisors (see below), whose sum is σ = 453542976. Its totient is φ = 367452400.

The previous prime is 409972657. The next prime is 409972699. The reversal of 409972673 is 376279904.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 409972673 - 2⁴ = 409972657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409972573) 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 7 ways as a sum of consecutive naturals, for example, 261686 + ... + 263247.

It is an arithmetic number, because the mean of its divisors is an integer number (56692872).

Almost surely, 2^409972673 is an apocalyptic number.

It is an amenable number.

409972673 is a deficient number, since it is larger than the sum of its proper divisors (43570303).

409972673 is a wasteful number, since it uses less digits than its factorization.

409972673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525015.

The product of its (nonzero) digits is 571536, while the sum is 47.

The square root of 409972673 is about 20247.7819279051. The cubic root of 409972673 is about 742.8793788057.

The spelling of 409972673 in words is "four hundred nine million, nine hundred seventy-two thousand, six hundred seventy-three".