430164 has 48 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 122688.

The previous prime is 430147. The next prime is 430193. The reversal of 430164 is 461034.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2⁴³⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400).

430164 is an abundant number, since it is smaller than the sum of its proper divisors (846636).

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

430164 is a wasteful number, since it uses less digits than its factorization.

430164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430164 is about 655.8688893369. The cubic root of 430164 is about 75.4880176297.

Adding to 430164 its reverse (461034), we get a palindrome (891198).

The spelling of 430164 in words is "four hundred thirty thousand, one hundred sixty-four".