42433760 has 48 divisors (see below), whose sum is σ = 101180016. Its totient is φ = 16816128.

The previous prime is 42433747. The next prime is 42433763. The reversal of 42433760 is 6733424.

It is a happy number.

42433760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433763) 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 7 ways as a sum of consecutive naturals, for example, 16907 + ... + 19253.

It is an arithmetic number, because the mean of its divisors is an integer number (2107917).

Almost surely, 2^42433760 is an apocalyptic number.

42433760 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 42433760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50590008).

42433760 is an abundant number, since it is smaller than the sum of its proper divisors (58746256).

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

42433760 is a wasteful number, since it uses less digits than its factorization.

42433760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 42433760 is about 6514.1200480188. The cubic root of 42433760 is about 348.7952044623.

The spelling of 42433760 in words is "forty-two million, four hundred thirty-three thousand, seven hundred sixty".