414334221 has 16 divisors (see below), whose sum is σ = 632022144. Its totient is φ = 236516544.

The previous prime is 414334201. The next prime is 414334237. The reversal of 414334221 is 122433414.

It is not a de Polignac number, because 414334221 - 2⁹ = 414333709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414334191 and 414334200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414334201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11535 + ... + 31011.

It is an arithmetic number, because the mean of its divisors is an integer number (39501384).

Almost surely, 2^414334221 is an apocalyptic number.

It is an amenable number.

414334221 is a deficient number, since it is larger than the sum of its proper divisors (217687923).

414334221 is a wasteful number, since it uses less digits than its factorization.

414334221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500.

The product of its digits is 2304, while the sum is 24.

The square root of 414334221 is about 20355.2013254598. The cubic root of 414334221 is about 745.5044980096.

Adding to 414334221 its reverse (122433414), we get a palindrome (536767635).

It can be divided in two parts, 41433 and 4221, that added together give a palindrome (45654).

The spelling of 414334221 in words is "four hundred fourteen million, three hundred thirty-four thousand, two hundred twenty-one".