42485184 has 168 divisors, whose sum is σ = 143121888. Its totient is φ = 11796480.

The previous prime is 42485147. The next prime is 42485189. The reversal of 42485184 is 48158424.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42485189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165184 + ... + 165440.

It is an arithmetic number, because the mean of its divisors is an integer number (851916).

Almost surely, 2^42485184 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 42485184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560944).

42485184 is an abundant number, since it is smaller than the sum of its proper divisors (100636704).

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

42485184 is a wasteful number, since it uses less digits than its factorization.

42485184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 42485184 is about 6518.0659708229. The cubic root of 42485184 is about 348.9360451824.

The spelling of 42485184 in words is "forty-two million, four hundred eighty-five thousand, one hundred eighty-four".