414816065 has 32 divisors (see below), whose sum is σ = 554680224. Its totient is φ = 296386560.

The previous prime is 414816047. The next prime is 414816071. The reversal of 414816065 is 560618414.

It can be written as a sum of positive squares in 16 ways, for example, as 7745089 + 407070976 = 2783^2 + 20176^2 .

It is not a de Polignac number, because 414816065 - 2¹⁰ = 414815041 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127337 + ... + 130553.

It is an arithmetic number, because the mean of its divisors is an integer number (17333757).

Almost surely, 2^414816065 is an apocalyptic number.

It is an amenable number.

414816065 is a deficient number, since it is larger than the sum of its proper divisors (139864159).

414816065 is a wasteful number, since it uses less digits than its factorization.

414816065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 414816065 is about 20367.0337801065. The cubic root of 414816065 is about 745.7933772866.

The spelling of 414816065 in words is "four hundred fourteen million, eight hundred sixteen thousand, sixty-five".