42409984 has 56 divisors (see below), whose sum is σ = 88075008. Its totient is φ = 20398080.

The previous prime is 42409981. The next prime is 42409987. The reversal of 42409984 is 48990424.

It is an interprime number because it is at equal distance from previous prime (42409981) and next prime (42409987).

It is not an unprimeable number, because it can be changed into a prime (42409981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253869 + ... + 254035.

It is an arithmetic number, because the mean of its divisors is an integer number (1572768).

Almost surely, 2^42409984 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 42409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44037504).

42409984 is an abundant number, since it is smaller than the sum of its proper divisors (45665024).

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

42409984 is an equidigital number, since it uses as much as digits as its factorization.

42409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 42409984 is about 6512.2948336205. The cubic root of 42409984 is about 348.7300479758.

The spelling of 42409984 in words is "forty-two million, four hundred nine thousand, nine hundred eighty-four".