434224320 has 224 divisors, whose sum is σ = 1440899328. Its totient is φ = 110702592.

The previous prime is 434224313. The next prime is 434224321. The reversal of 434224320 is 23422434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (434224321) 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, 2765682 + ... + 2765838.

Almost surely, 2^434224320 is an apocalyptic number.

434224320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720449664).

434224320 is an abundant number, since it is smaller than the sum of its proper divisors (1006675008).

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

434224320 is a wasteful number, since it uses less digits than its factorization.

434224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 434224320 is about 20838.0498127824. The cubic root of 434224320 is about 757.2478481946.

Adding to 434224320 its reverse (23422434), we get a palindrome (457646754).

The spelling of 434224320 in words is "four hundred thirty-four million, two hundred twenty-four thousand, three hundred twenty".