416085 has 8 divisors (see below), whose sum is σ = 665760. Its totient is φ = 221904.

The previous prime is 416077. The next prime is 416089. The reversal of 416085 is 580614.

416085 = 211² + 212² + ... + 219².

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

It is not a de Polignac number, because 416085 - 2³ = 416077 is a prime.

416085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416089) 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, 13855 + ... + 13884.

It is an arithmetic number, because the mean of its divisors is an integer number (83220).

2⁴¹⁶⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

416085 is a deficient number, since it is larger than the sum of its proper divisors (249675).

416085 is a wasteful number, since it uses less digits than its factorization.

416085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27747.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 416085 is about 645.0465099510. The cubic root of 416085 is about 74.6553071402.

Adding to 416085 its reverse (580614), we get a palindrome (996699).

The spelling of 416085 in words is "four hundred sixteen thousand, eighty-five".