164441200 has 240 divisors, whose sum is σ = 520323840. Its totient is φ = 48384000.

The previous prime is 164441197. The next prime is 164441243. The reversal of 164441200 is 2144461.

It is a super-3 number, since 3×164441200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 585060 + ... + 585340.

It is an arithmetic number, because the mean of its divisors is an integer number (2168016).

Almost surely, 2^164441200 is an apocalyptic number.

164441200 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 164441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260161920).

164441200 is an abundant number, since it is smaller than the sum of its proper divisors (355882640).

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

164441200 is a wasteful number, since it uses less digits than its factorization.

164441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 164441200 is about 12823.4628708473. The cubic root of 164441200 is about 547.8607812294.

Adding to 164441200 its reverse (2144461), we get a palindrome (166585661).

The spelling of 164441200 in words is "one hundred sixty-four million, four hundred forty-one thousand, two hundred".