423205200 has 180 divisors, whose sum is σ = 1602302208. Its totient is φ = 102585600.

The previous prime is 423205199. The next prime is 423205201. The reversal of 423205200 is 2502324.

It is an interprime number because it is at equal distance from previous prime (423205199) and next prime (423205201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423205201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 34257 + ... + 44943.

Almost surely, 2^423205200 is an apocalyptic number.

423205200 is a gapful number since it is divisible by the number (40) 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 423205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801151104).

423205200 is an abundant number, since it is smaller than the sum of its proper divisors (1179097008).

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

423205200 is a wasteful number, since it uses less digits than its factorization.

423205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10722 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 423205200 is about 20571.9517790607. The cubic root of 423205200 is about 750.7874396291.

Adding to 423205200 its reverse (2502324), we get a palindrome (425707524).

The spelling of 423205200 in words is "four hundred twenty-three million, two hundred five thousand, two hundred".