164430300 has 72 divisors (see below), whose sum is σ = 477313200. Its totient is φ = 43704320.

The previous prime is 164430281. The next prime is 164430337. The reversal of 164430300 is 3034461.

164430300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×164430300³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115996 + ... + 117404.

It is an arithmetic number, because the mean of its divisors is an integer number (6629350).

Almost surely, 2^164430300 is an apocalyptic number.

164430300 is a gapful number since it is divisible by the number (10) 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 164430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238656600).

164430300 is an abundant number, since it is smaller than the sum of its proper divisors (312882900).

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

164430300 is a wasteful number, since it uses less digits than its factorization.

164430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 164430300 is about 12823.0378615989. The cubic root of 164430300 is about 547.8486759612.

Adding to 164430300 its reverse (3034461), we get a palindrome (167464761).

The spelling of 164430300 in words is "one hundred sixty-four million, four hundred thirty thousand, three hundred".