1664443200 has 168 divisors, whose sum is σ = 6240995392. Its totient is φ = 380436480.

The previous prime is 1664443199. The next prime is 1664443213. The reversal of 1664443200 is 23444661.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×1664443200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8832 + ... + 58368.

Almost surely, 2^1664443200 is an apocalyptic number.

1664443200 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 1664443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120497696).

1664443200 is an abundant number, since it is smaller than the sum of its proper divisors (4576552192).

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

1664443200 is a wasteful number, since it uses less digits than its factorization.

1664443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49569 (or 49554 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1664443200 is about 40797.5881640079. The cubic root of 1664443200 is about 1185.1036246150.

Adding to 1664443200 its reverse (23444661), we get a palindrome (1687887861).

The spelling of 1664443200 in words is "one billion, six hundred sixty-four million, four hundred forty-three thousand, two hundred".