410985 has 12 divisors (see below), whose sum is σ = 712452. Its totient is φ = 219168.

The previous prime is 410983. The next prime is 410999. The reversal of 410985 is 589014.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 168921 = 492^2 + 411^2 .

It is not a de Polignac number, because 410985 - 2¹ = 410983 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

410985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (410983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4522 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (59371).

2⁴¹⁰⁹⁸⁵ is an apocalyptic number.

410985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

410985 is a deficient number, since it is larger than the sum of its proper divisors (301467).

410985 is a wasteful number, since it uses less digits than its factorization.

410985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 410985 is about 641.0811181122. The cubic root of 410985 is about 74.3490329047.

Adding to 410985 its reverse (589014), we get a palindrome (999999).

The spelling of 410985 in words is "four hundred ten thousand, nine hundred eighty-five".