42859584 has 112 divisors (see below), whose sum is σ = 133502400. Its totient is φ = 13436928.

The previous prime is 42859571. The next prime is 42859589. The reversal of 42859584 is 48595824.

It is not an unprimeable number, because it can be changed into a prime (42859589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28647 + ... + 30105.

Almost surely, 2^42859584 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 42859584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66751200).

42859584 is an abundant number, since it is smaller than the sum of its proper divisors (90642816).

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

42859584 is a wasteful number, since it uses less digits than its factorization.

42859584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1481 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 42859584 is about 6546.7231497903. The cubic root of 42859584 is about 349.9580466721.

The spelling of 42859584 in words is "forty-two million, eight hundred fifty-nine thousand, five hundred eighty-four".