409973 has 8 divisors (see below), whose sum is σ = 432480. Its totient is φ = 388080.

The previous prime is 409967. The next prime is 409987. The reversal of 409973 is 379904.

It is a happy number.

409973 is nontrivially palindromic in base 15.

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 409973 - 2⁶ = 409909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1838 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (54060).

2⁴⁰⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

409973 is a deficient number, since it is larger than the sum of its proper divisors (22507).

409973 is a wasteful number, since it uses less digits than its factorization.

409973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 409973 is about 640.2913399383. The cubic root of 409973 is about 74.2879576316.

The spelling of 409973 in words is "four hundred nine thousand, nine hundred seventy-three".