430144120 has 128 divisors (see below), whose sum is σ = 1148515200. Its totient is φ = 141926400.

The previous prime is 430144111. The next prime is 430144151. The reversal of 430144120 is 21441034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021510 + ... + 1021930.

It is an arithmetic number, because the mean of its divisors is an integer number (8972775).

Almost surely, 2^430144120 is an apocalyptic number.

430144120 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 430144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574257600).

430144120 is an abundant number, since it is smaller than the sum of its proper divisors (718371080).

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

430144120 is a wasteful number, since it uses less digits than its factorization.

430144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 430144120 is about 20739.9161039769. The cubic root of 430144120 is about 754.8685472061.

Adding to 430144120 its reverse (21441034), we get a palindrome (451585154).

The spelling of 430144120 in words is "four hundred thirty million, one hundred forty-four thousand, one hundred twenty".