42435750 has 128 divisors (see below), whose sum is σ = 124001280. Its totient is φ = 9465600.

The previous prime is 42435737. The next prime is 42435751. The reversal of 42435750 is 5753424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42435751) 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 63 ways as a sum of consecutive naturals, for example, 309682 + ... + 309818.

It is an arithmetic number, because the mean of its divisors is an integer number (968760).

Almost surely, 2^42435750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42435750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62000640).

42435750 is an abundant number, since it is smaller than the sum of its proper divisors (81565530).

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

42435750 is a wasteful number, since it uses less digits than its factorization.

42435750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 42435750 is about 6514.2727913406. The cubic root of 42435750 is about 348.8006568160.

The spelling of 42435750 in words is "forty-two million, four hundred thirty-five thousand, seven hundred fifty".