409971 has 4 divisors (see below), whose sum is σ = 546632. Its totient is φ = 273312.

The previous prime is 409967. The next prime is 409987. The reversal of 409971 is 179904.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 409971 - 2² = 409967 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409901) 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, 68326 + ... + 68331.

It is an arithmetic number, because the mean of its divisors is an integer number (136658).

2⁴⁰⁹⁹⁷¹ is an apocalyptic number.

409971 is a deficient number, since it is larger than the sum of its proper divisors (136661).

409971 is a wasteful number, since it uses less digits than its factorization.

409971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136660.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 409971 is about 640.2897781474. The cubic root of 409971 is about 74.2878368300.

It can be divided in two parts, 40 and 9971, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 409971 in words is "four hundred nine thousand, nine hundred seventy-one".