414205005 has 16 divisors (see below), whose sum is σ = 666797760. Its totient is φ = 219552768.

The previous prime is 414204991. The next prime is 414205007. The reversal of 414205005 is 500502414.

It is not a de Polignac number, because 414205005 - 2¹⁰ = 414203981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414205007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82260 + ... + 87149.

It is an arithmetic number, because the mean of its divisors is an integer number (41674860).

Almost surely, 2^414205005 is an apocalyptic number.

It is an amenable number.

414205005 is a deficient number, since it is larger than the sum of its proper divisors (252592755).

414205005 is a wasteful number, since it uses less digits than its factorization.

414205005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169580.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 414205005 is about 20352.0270489207. The cubic root of 414205005 is about 745.4269912368.

Adding to 414205005 its reverse (500502414), we get a palindrome (914707419).

The spelling of 414205005 in words is "four hundred fourteen million, two hundred five thousand, five".