414221220 has 144 divisors (see below), whose sum is σ = 1440985728. Its totient is φ = 94348800.

The previous prime is 414221209. The next prime is 414221267. The reversal of 414221220 is 22122414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 414221193 and 414221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688920 + ... + 689520.

Almost surely, 2^414221220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720492864).

414221220 is an abundant number, since it is smaller than the sum of its proper divisors (1026764508).

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

414221220 is a wasteful number, since it uses less digits than its factorization.

414221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414221220 is about 20352.4254082898. The cubic root of 414221220 is about 745.4367182566.

Adding to 414221220 its reverse (22122414), we get a palindrome (436343634).

The spelling of 414221220 in words is "four hundred fourteen million, two hundred twenty-one thousand, two hundred twenty".