430111220 has 144 divisors (see below), whose sum is σ = 1214160192. Its totient is φ = 126120960.

The previous prime is 430111193. The next prime is 430111223. The reversal of 430111220 is 22111034.

430111220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 430111195 and 430111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182087 + ... + 184433.

It is an arithmetic number, because the mean of its divisors is an integer number (8431668).

Almost surely, 2^430111220 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 430111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607080096).

430111220 is an abundant number, since it is smaller than the sum of its proper divisors (784048972).

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

430111220 is a wasteful number, since it uses less digits than its factorization.

430111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 430111220 is about 20739.1229322746. The cubic root of 430111220 is about 754.8493010920.

Adding to 430111220 its reverse (22111034), we get a palindrome (452222254).

The spelling of 430111220 in words is "four hundred thirty million, one hundred eleven thousand, two hundred twenty".