430424120 has 64 divisors (see below), whose sum is σ = 1130388480. Its totient is φ = 144429696.

The previous prime is 430424101. The next prime is 430424129. The reversal of 430424120 is 21424034.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 430424092 and 430424101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430424129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194 + ... + 29513.

It is an arithmetic number, because the mean of its divisors is an integer number (17662320).

Almost surely, 2^430424120 is an apocalyptic number.

430424120 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 430424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565194240).

430424120 is an abundant number, since it is smaller than the sum of its proper divisors (699964360).

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

430424120 is a wasteful number, since it uses less digits than its factorization.

430424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32772 (or 32768 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 430424120 is about 20746.6652742073. The cubic root of 430424120 is about 755.0323042184.

Adding to 430424120 its reverse (21424034), we get a palindrome (451848154).

The spelling of 430424120 in words is "four hundred thirty million, four hundred twenty-four thousand, one hundred twenty".