414085 has 8 divisors (see below), whose sum is σ = 567936. Its totient is φ = 283920.

The previous prime is 414083. The next prime is 414097. The reversal of 414085 is 580414.

414085 = 3² + 4² + ... + 107².

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

It is not a de Polignac number, because 414085 - 2¹ = 414083 is a prime.

It is a Duffinian number.

414085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414083) 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, 5881 + ... + 5950.

It is an arithmetic number, because the mean of its divisors is an integer number (70992).

2⁴¹⁴⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

414085 is a deficient number, since it is larger than the sum of its proper divisors (153851).

414085 is a wasteful number, since it uses less digits than its factorization.

414085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 414085 is about 643.4943667197. The cubic root of 414085 is about 74.5354994999.

Adding to 414085 its reverse (580414), we get a palindrome (994499).

It can be divided in two parts, 4140 and 85, that added together give a square (4225 = 65²).

The spelling of 414085 in words is "four hundred fourteen thousand, eighty-five".