430389 has 24 divisors (see below), whose sum is σ = 687960. Its totient is φ = 258048.

The previous prime is 430357. The next prime is 430393. The reversal of 430389 is 983034.

430389 = 56² + 57² + ... + 113².

It can be written as a sum of positive squares in 4 ways, for example, as 108900 + 321489 = 330^2 + 567^2 .

It is not a de Polignac number, because 430389 - 2⁵ = 430357 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 430389.

It is not an unprimeable number, because it can be changed into a prime (430319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4389 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2⁴³⁰³⁸⁹ is an apocalyptic number.

It is an amenable number.

430389 is a deficient number, since it is larger than the sum of its proper divisors (257571).

430389 is a wasteful number, since it uses less digits than its factorization.

430389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 430389 is about 656.0403950977. The cubic root of 430389 is about 75.5011768306.

The spelling of 430389 in words is "four hundred thirty thousand, three hundred eighty-nine".