414010085 has 16 divisors (see below), whose sum is σ = 505296576. Its totient is φ = 325573248.

The previous prime is 414010081. The next prime is 414010109. The reversal of 414010085 is 580010414.

It is a cyclic number.

It is not a de Polignac number, because 414010085 - 2² = 414010081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414010085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414010081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205694 + ... + 207696.

It is an arithmetic number, because the mean of its divisors is an integer number (31581036).

Almost surely, 2^414010085 is an apocalyptic number.

It is an amenable number.

414010085 is a deficient number, since it is larger than the sum of its proper divisors (91286491).

414010085 is a wasteful number, since it uses less digits than its factorization.

414010085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692.

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 414010085 is about 20347.2377732212. The cubic root of 414010085 is about 745.3100431674.

Adding to 414010085 its reverse (580010414), we get a palindrome (994020499).

The spelling of 414010085 in words is "four hundred fourteen million, ten thousand, eighty-five".