165230400 has 168 divisors, whose sum is σ = 561258720. Its totient is φ = 42506240.

The previous prime is 165230389. The next prime is 165230423. The reversal of 165230400 is 4032561.

It is a happy number.

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, 138607 + ... + 139793.

Almost surely, 2^165230400 is an apocalyptic number.

165230400 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 165230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280629360).

165230400 is an abundant number, since it is smaller than the sum of its proper divisors (396028320).

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

165230400 is a wasteful number, since it uses less digits than its factorization.

165230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 165230400 is about 12854.1977579311. The cubic root of 165230400 is about 548.7358293222.

Adding to 165230400 its reverse (4032561), we get a palindrome (169262961).

The spelling of 165230400 in words is "one hundred sixty-five million, two hundred thirty thousand, four hundred".