42325200 has 120 divisors (see below), whose sum is σ = 150684800. Its totient is φ = 11283840.

The previous prime is 42325193. The next prime is 42325207. The reversal of 42325200 is 252324.

It is an interprime number because it is at equal distance from previous prime (42325193) and next prime (42325207).

It is a tau number, because it is divible by the number of its divisors (120).

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 (42325207) 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 23 ways as a sum of consecutive naturals, for example, 8841 + ... + 12759.

Almost surely, 2^42325200 is an apocalyptic number.

42325200 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 42325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75342400).

42325200 is an abundant number, since it is smaller than the sum of its proper divisors (108359600).

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

42325200 is a wasteful number, since it uses less digits than its factorization.

42325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3929 counting only the distinct ones).

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

The square root of 42325200 is about 6505.7820436901. The cubic root of 42325200 is about 348.4975048314.

Adding to 42325200 its reverse (252324), we get a palindrome (42577524).

The spelling of 42325200 in words is "forty-two million, three hundred twenty-five thousand, two hundred".