165444400 has 120 divisors (see below), whose sum is σ = 456667200. Its totient is φ = 56966400.

The previous prime is 165444397. The next prime is 165444401. The reversal of 165444400 is 4444561.

It is not an unprimeable number, because it can be changed into a prime (165444401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82611 + ... + 84589.

It is an arithmetic number, because the mean of its divisors is an integer number (3805560).

Almost surely, 2^165444400 is an apocalyptic number.

165444400 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 165444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228333600).

165444400 is an abundant number, since it is smaller than the sum of its proper divisors (291222800).

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

165444400 is a wasteful number, since it uses less digits than its factorization.

165444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 165444400 is about 12862.5191933773. The cubic root of 165444400 is about 548.9726275693.

Adding to 165444400 its reverse (4444561), we get a palindrome (169888961).

The spelling of 165444400 in words is "one hundred sixty-five million, four hundred forty-four thousand, four hundred".