42433200 has 120 divisors (see below), whose sum is σ = 151069200. Its totient is φ = 11312640.

The previous prime is 42433189. The next prime is 42433201. The reversal of 42433200 is 233424.

42433200 = 1136² + 1137² + ... + 1167².

42433200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (42433201) 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 23 ways as a sum of consecutive naturals, for example, 8836 + ... + 12764.

It is an arithmetic number, because the mean of its divisors is an integer number (1258910).

Almost surely, 2^42433200 is an apocalyptic number.

42433200 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 42433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75534600).

42433200 is an abundant number, since it is smaller than the sum of its proper divisors (108636000).

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

42433200 is a wasteful number, since it uses less digits than its factorization.

42433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42433200 is about 6514.0770643277. The cubic root of 42433200 is about 348.7936701009.

Adding to 42433200 its reverse (233424), we get a palindrome (42666624).

The spelling of 42433200 in words is "forty-two million, four hundred thirty-three thousand, two hundred".