42008904 has 96 divisors (see below), whose sum is σ = 137704320. Its totient is φ = 11294208.

The previous prime is 42008903. The next prime is 42008917. The reversal of 42008904 is 40980024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42008903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6117 + ... + 11019.

It is an arithmetic number, because the mean of its divisors is an integer number (1434420).

Almost surely, 2^42008904 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 42008904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68852160).

42008904 is an abundant number, since it is smaller than the sum of its proper divisors (95695416).

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

42008904 is a wasteful number, since it uses less digits than its factorization.

42008904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42008904 is about 6481.4276205169. The cubic root of 42008904 is about 347.6272266746.

Adding to 42008904 its reverse (40980024), we get a palindrome (82988928).

The spelling of 42008904 in words is "forty-two million, eight thousand, nine hundred four".