42302416 has 40 divisors (see below), whose sum is σ = 91322280. Its totient is φ = 18848256.

The previous prime is 42302399. The next prime is 42302419. The reversal of 42302416 is 61420324.

It is a happy number.

42302416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6350400 + 35952016 = 2520^2 + 5996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42302419) 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, 2526 + ... + 9538.

It is an arithmetic number, because the mean of its divisors is an integer number (2283057).

Almost surely, 2^42302416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42302416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45661140).

42302416 is an abundant number, since it is smaller than the sum of its proper divisors (49019864).

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

42302416 is a wasteful number, since it uses less digits than its factorization.

42302416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42302416 is about 6504.0307502348. The cubic root of 42302416 is about 348.4349605920.

The spelling of 42302416 in words is "forty-two million, three hundred two thousand, four hundred sixteen".