414085145 has 16 divisors (see below), whose sum is σ = 526405440. Its totient is φ = 311822784.

The previous prime is 414085121. The next prime is 414085157. The reversal of 414085145 is 541580414.

It is a cyclic number.

It is not a de Polignac number, because 414085145 - 2⁸ = 414084889 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034 + ... + 28796.

It is an arithmetic number, because the mean of its divisors is an integer number (32900340).

Almost surely, 2^414085145 is an apocalyptic number.

It is an amenable number.

414085145 is a deficient number, since it is larger than the sum of its proper divisors (112320295).

414085145 is a wasteful number, since it uses less digits than its factorization.

414085145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27944.

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 414085145 is about 20349.0821660339. The cubic root of 414085145 is about 745.3550819988.

The spelling of 414085145 in words is "four hundred fourteen million, eighty-five thousand, one hundred forty-five".