414390205 has 16 divisors (see below), whose sum is σ = 505866240. Its totient is φ = 325829952.

The previous prime is 414390161. The next prime is 414390233. The reversal of 414390205 is 502093414.

It is a cyclic number.

It is not a de Polignac number, because 414390205 - 2¹⁹ = 413865917 is a prime.

It is a super-4 number, since 4×414390205⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66222 + ... + 72208.

It is an arithmetic number, because the mean of its divisors is an integer number (31616640).

Almost surely, 2^414390205 is an apocalyptic number.

It is an amenable number.

414390205 is a deficient number, since it is larger than the sum of its proper divisors (91476035).

414390205 is a wasteful number, since it uses less digits than its factorization.

414390205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 414390205 is about 20356.5764557796. The cubic root of 414390205 is about 745.5380735162.

The spelling of 414390205 in words is "four hundred fourteen million, three hundred ninety thousand, two hundred five".