42478584 has 64 divisors (see below), whose sum is σ = 109296000. Its totient is φ = 13752960.

The previous prime is 42478577. The next prime is 42478589. The reversal of 42478584 is 48587424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42478589) 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, 185382 + ... + 185610.

It is an arithmetic number, because the mean of its divisors is an integer number (1707750).

Almost surely, 2^42478584 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 42478584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54648000).

42478584 is an abundant number, since it is smaller than the sum of its proper divisors (66817416).

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

42478584 is a wasteful number, since it uses less digits than its factorization.

42478584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 42478584 is about 6517.5596660100. The cubic root of 42478584 is about 348.9179753759.

The spelling of 42478584 in words is "forty-two million, four hundred seventy-eight thousand, five hundred eighty-four".