42413008 has 40 divisors (see below), whose sum is σ = 90351360. Its totient is φ = 19127040.

The previous prime is 42412987. The next prime is 42413009. The reversal of 42413008 is 80031424.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 42413008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23233 + ... + 24991.

It is an arithmetic number, because the mean of its divisors is an integer number (2258784).

Almost surely, 2^42413008 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 42413008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45175680).

42413008 is an abundant number, since it is smaller than the sum of its proper divisors (47938352).

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

42413008 is a wasteful number, since it uses less digits than its factorization.

42413008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42413008 is about 6512.5270057022. The cubic root of 42413008 is about 348.7383363905.

The spelling of 42413008 in words is "forty-two million, four hundred thirteen thousand, eight".