165422400 has 336 divisors, whose sum is σ = 640250688. Its totient is φ = 36864000.

The previous prime is 165422399. The next prime is 165422401. The reversal of 165422400 is 4224561.

It is an interprime number because it is at equal distance from previous prime (165422399) and next prime (165422401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686280 + ... + 686520.

It is an arithmetic number, because the mean of its divisors is an integer number (1905508).

Almost surely, 2^165422400 is an apocalyptic number.

165422400 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 165422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320125344).

165422400 is an abundant number, since it is smaller than the sum of its proper divisors (474828288).

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

165422400 is a wasteful number, since it uses less digits than its factorization.

165422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 165422400 is about 12861.6639669990. The cubic root of 165422400 is about 548.9482932447.

Adding to 165422400 its reverse (4224561), we get a palindrome (169646961).

The spelling of 165422400 in words is "one hundred sixty-five million, four hundred twenty-two thousand, four hundred".