42208416 has 144 divisors (see below), whose sum is σ = 131085864. Its totient is φ = 12828672.

The previous prime is 42208403. The next prime is 42208417. The reversal of 42208416 is 61480224.

42208416 is a `hidden beast` number, since 42 + 208 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40908816 + 1299600 = 6396^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 42208416.

It is not an unprimeable number, because it can be changed into a prime (42208417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181036 + ... + 181268.

Almost surely, 2^42208416 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 42208416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65542932).

42208416 is an abundant number, since it is smaller than the sum of its proper divisors (88877448).

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

42208416 is a wasteful number, since it uses less digits than its factorization.

42208416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42208416 is about 6496.8004432951. The cubic root of 42208416 is about 348.1766839623.

It can be divided in two parts, 42208 and 416, that added together give a palindrome (42624).

The spelling of 42208416 in words is "forty-two million, two hundred eight thousand, four hundred sixteen".