42209856 has 112 divisors (see below), whose sum is σ = 133705600. Its totient is φ = 12980736.

The previous prime is 42209851. The next prime is 42209863. The reversal of 42209856 is 65890224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42209856.

It is not an unprimeable number, because it can be changed into a prime (42209851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21525 + ... + 23403.

It is an arithmetic number, because the mean of its divisors is an integer number (1193800).

Almost surely, 2^42209856 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 42209856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66852800).

42209856 is an abundant number, since it is smaller than the sum of its proper divisors (91495744).

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

42209856 is a wasteful number, since it uses less digits than its factorization.

42209856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42209856 is about 6496.9112661325. The cubic root of 42209856 is about 348.1806434311.

The spelling of 42209856 in words is "forty-two million, two hundred nine thousand, eight hundred fifty-six".