434321220 has 96 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 111720960.

The previous prime is 434321201. The next prime is 434321221. The reversal of 434321220 is 22123434.

It is not an unprimeable number, because it can be changed into a prime (434321221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192861 + ... + 195099.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^434321220 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 434321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

434321220 is an abundant number, since it is smaller than the sum of its proper divisors (825598140).

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

434321220 is a wasteful number, since it uses less digits than its factorization.

434321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 434321220 is about 20840.3747567072. The cubic root of 434321220 is about 757.3041722768.

Adding to 434321220 its reverse (22123434), we get a palindrome (456444654).

The spelling of 434321220 in words is "four hundred thirty-four million, three hundred twenty-one thousand, two hundred twenty".