414505221 has 16 divisors (see below), whose sum is σ = 596223936. Its totient is φ = 254635776.

The previous prime is 414505213. The next prime is 414505229. The reversal of 414505221 is 122505414.

It is an interprime number because it is at equal distance from previous prime (414505213) and next prime (414505229).

It is not a de Polignac number, because 414505221 - 2³ = 414505213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414505191 and 414505200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414505229) by changing a digit.

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, 14166 + ... + 32088.

It is an arithmetic number, because the mean of its divisors is an integer number (37263996).

Almost surely, 2^414505221 is an apocalyptic number.

It is an amenable number.

414505221 is a deficient number, since it is larger than the sum of its proper divisors (181718715).

414505221 is a wasteful number, since it uses less digits than its factorization.

414505221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18532.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 414505221 is about 20359.4012927689. The cubic root of 414505221 is about 745.6070430317.

The spelling of 414505221 in words is "four hundred fourteen million, five hundred five thousand, two hundred twenty-one".