423187200 has 432 divisors, whose sum is σ = 1622118400. Its totient is φ = 107827200.

The previous prime is 423187183. The next prime is 423187207. The reversal of 423187200 is 2781324.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (423187207) 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, 5356761 + ... + 5356839.

Almost surely, 2^423187200 is an apocalyptic number.

423187200 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 423187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811059200).

423187200 is an abundant number, since it is smaller than the sum of its proper divisors (1198931200).

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

423187200 is a wasteful number, since it uses less digits than its factorization.

423187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 423187200 is about 20571.5142855357. The cubic root of 423187200 is about 750.7767951746.

The spelling of 423187200 in words is "four hundred twenty-three million, one hundred eighty-seven thousand, two hundred".