42683904 has 120 divisors (see below), whose sum is σ = 126074520. Its totient is φ = 13897728.

The previous prime is 42683897. The next prime is 42683909. The reversal of 42683904 is 40938624.

It is a happy number.

42683904 is a `hidden beast` number, since 4 + 268 + 390 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271794 + ... + 271950.

It is an arithmetic number, because the mean of its divisors is an integer number (1050621).

Almost surely, 2^42683904 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 42683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63037260).

42683904 is an abundant number, since it is smaller than the sum of its proper divisors (83390616).

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

42683904 is a wasteful number, since it uses less digits than its factorization.

42683904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42683904 is about 6533.2919726582. The cubic root of 42683904 is about 349.4792364267.

The spelling of 42683904 in words is "forty-two million, six hundred eighty-three thousand, nine hundred four".