410041 has 8 divisors (see below), whose sum is σ = 428904. Its totient is φ = 391680.

The previous prime is 410029. The next prime is 410063. The reversal of 410041 is 140014.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 395641 = 120^2 + 629^2 .

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

It is a 3-Lehmer number, since φ(410041) divides (410041-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 410041 - 2⁵ = 410009 is a prime.

It is a deceptive number, since it divides R₄₁₀₀₄₀.

It is a Duffinian number.

410041 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410141) 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, 2925 + ... + 3061.

It is an arithmetic number, because the mean of its divisors is an integer number (53613).

It is a Poulet number, since it divides 2⁴¹⁰⁰⁴⁰-1.

2⁴¹⁰⁰⁴¹ is an apocalyptic number.

410041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

410041 is a deficient number, since it is larger than the sum of its proper divisors (18863).

410041 is a wasteful number, since it uses less digits than its factorization.

410041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 410041 is about 640.3444385641. The cubic root of 410041 is about 74.2920646515.

Multiplying 410041 by its product of nonzero digits (16), we get a palindrome (6560656).

Adding to 410041 its reverse (140014), we get a palindrome (550055).

It can be divided in two parts, 4100 and 41, that multiplied together give a square (168100 = 410²).

The spelling of 410041 in words is "four hundred ten thousand, forty-one", and thus it is an iban number.