164430 has 80 divisors (see below), whose sum is σ = 522720. Its totient is φ = 36288.

The previous prime is 164429. The next prime is 164431. The reversal of 164430 is 34461.

It is an interprime number because it is at equal distance from previous prime (164429) and next prime (164431).

It is a super-3 number, since 3×164430³ = 13337192670921000, which contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164431) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5656 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (6534).

2¹⁶⁴⁴³⁰ is an apocalyptic number.

164430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 405×406.

It is a practical number, because each smaller number is the sum of distinct divisors of 164430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261360).

164430 is an abundant number, since it is smaller than the sum of its proper divisors (358290).

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

164430 is a wasteful number, since it uses less digits than its factorization.

164430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

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

The square root of 164430 is about 405.4996917385. The cubic root of 164430 is about 54.7848342781.

Adding to 164430 its reverse (34461), we get a palindrome (198891).

The spelling of 164430 in words is "one hundred sixty-four thousand, four hundred thirty".