414013223 has 16 divisors (see below), whose sum is σ = 472812480. Its totient is φ = 359133696.

The previous prime is 414013219. The next prime is 414013253. The reversal of 414013223 is 322310414.

It is a cyclic number.

It is not a de Polignac number, because 414013223 - 2² = 414013219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414013195 and 414013204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013253) 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, 219398 + ... + 221276.

It is an arithmetic number, because the mean of its divisors is an integer number (29550780).

Almost surely, 2^414013223 is an apocalyptic number.

414013223 is a deficient number, since it is larger than the sum of its proper divisors (58799257).

414013223 is a wasteful number, since it uses less digits than its factorization.

414013223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 414013223 is about 20347.3148842790. The cubic root of 414013223 is about 745.3119261948.

Adding to 414013223 its reverse (322310414), we get a palindrome (736323637).

The spelling of 414013223 in words is "four hundred fourteen million, thirteen thousand, two hundred twenty-three".