42393984 has 64 divisors (see below), whose sum is σ = 113721840. Its totient is φ = 13991936.

The previous prime is 42393983. The next prime is 42394003. The reversal of 42393984 is 48939324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42393983) 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, 42904 + ... + 43880.

Almost surely, 2^42393984 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 42393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56860920).

42393984 is an abundant number, since it is smaller than the sum of its proper divisors (71327856).

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

42393984 is a wasteful number, since it uses less digits than its factorization.

42393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 42393984 is about 6511.0662721247. The cubic root of 42393984 is about 348.6861873714.

The spelling of 42393984 in words is "forty-two million, three hundred ninety-three thousand, nine hundred eighty-four".