414220 has 24 divisors (see below), whose sum is σ = 882000. Its totient is φ = 163392.

The previous prime is 414217. The next prime is 414221. The reversal of 414220 is 22414.

It is a self number, because there is not a number n which added to its sum of digits gives 414220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2706 + ... + 2854.

It is an arithmetic number, because the mean of its divisors is an integer number (36750).

2⁴¹⁴²²⁰ is an apocalyptic number.

It is an amenable number.

414220 is an abundant number, since it is smaller than the sum of its proper divisors (467780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414220 is a wasteful number, since it uses less digits than its factorization.

414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 414220 is about 643.5992541947. The cubic root of 414220 is about 74.5435986414.

Adding to 414220 its reverse (22414), we get a palindrome (436634).

The spelling of 414220 in words is "four hundred fourteen thousand, two hundred twenty", and thus it is an iban number.