409873 has 4 divisors (see below), whose sum is σ = 416880. Its totient is φ = 402868.

The previous prime is 409867. The next prime is 409879. The reversal of 409873 is 378904.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (409867) and next prime (409879).

It is a cyclic number.

It is not a de Polignac number, because 409873 - 2⁵ = 409841 is a prime.

It is a super-2 number, since 2×409873² = 335991752258, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (409879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3415 + ... + 3532.

It is an arithmetic number, because the mean of its divisors is an integer number (104220).

2⁴⁰⁹⁸⁷³ is an apocalyptic number.

It is an amenable number.

409873 is a deficient number, since it is larger than the sum of its proper divisors (7007).

409873 is an equidigital number, since it uses as much as digits as its factorization.

409873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 409873 is about 640.2132457236. The cubic root of 409873 is about 74.2819170713.

Adding to 409873 its sum of digits (31), we get a palindrome (409904).

The spelling of 409873 in words is "four hundred nine thousand, eight hundred seventy-three".