42405936 has 80 divisors (see below), whose sum is σ = 113564160. Its totient is φ = 13628160.

The previous prime is 42405907. The next prime is 42405941. The reversal of 42405936 is 63950424.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42405897 and 42405906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200871 + ... + 201081.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 2^42405936 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 42405936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56782080).

42405936 is an abundant number, since it is smaller than the sum of its proper divisors (71158224).

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

42405936 is a wasteful number, since it uses less digits than its factorization.

42405936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 42405936 is about 6511.9840294644. The cubic root of 42405936 is about 348.7189522854.

The spelling of 42405936 in words is "forty-two million, four hundred five thousand, nine hundred thirty-six".