430144 has 56 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 176640.

The previous prime is 430139. The next prime is 430147. The reversal of 430144 is 441034.

430144 is digitally balanced in base 3, 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 (16).

It is not an unprimeable number, because it can be changed into a prime (430147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9129 + ... + 9175.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁴³⁰¹⁴⁴ is an apocalyptic number.

430144 is a gapful number since it is divisible by the number (44) 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 430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

430144 is an abundant number, since it is smaller than the sum of its proper divisors (593984).

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

430144 is a wasteful number, since it uses less digits than its factorization.

430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 430144 is about 655.8536422099. The cubic root of 430144 is about 75.4868477009.

Subtracting from 430144 its sum of digits (16), we obtain a triangular number (430128 = T₉₂₇).

Adding to 430144 its product of nonzero digits (192), we get a square (430336 = 656²).

Adding to 430144 its reverse (441034), we get a palindrome (871178).

The spelling of 430144 in words is "four hundred thirty thousand, one hundred forty-four".