42985984 has 40 divisors (see below), whose sum is σ = 87405120. Its totient is φ = 21113856.

The previous prime is 42985963. The next prime is 42985993. The reversal of 42985984 is 48958924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29497 + ... + 30919.

It is an arithmetic number, because the mean of its divisors is an integer number (2185128).

Almost surely, 2^42985984 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 42985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43702560).

42985984 is an abundant number, since it is smaller than the sum of its proper divisors (44419136).

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

42985984 is an equidigital number, since it uses as much as digits as its factorization.

42985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1484 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The square root of 42985984 is about 6556.3697272195. The cubic root of 42985984 is about 350.3017370748.

It can be divided in two parts, 4 and 2985984, that multiplied together give a square (11943936 = 3456²).

The spelling of 42985984 in words is "forty-two million, nine hundred eighty-five thousand, nine hundred eighty-four".