42558208 has 144 divisors (see below), whose sum is σ = 113025024. Its totient is φ = 15482880.

The previous prime is 42558193. The next prime is 42558209. The reversal of 42558208 is 80285524.

It is a super-2 number, since 2×42558208² = 3622402136342528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (42558209) 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, 335041 + ... + 335167.

It is an arithmetic number, because the mean of its divisors is an integer number (784896).

Almost surely, 2^42558208 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 42558208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56512512).

42558208 is an abundant number, since it is smaller than the sum of its proper divisors (70466816).

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

42558208 is a wasteful number, since it uses less digits than its factorization.

42558208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 42558208 is about 6523.6652274622. The cubic root of 42558208 is about 349.1358491176.

The spelling of 42558208 in words is "forty-two million, five hundred fifty-eight thousand, two hundred eight".