42484288 has 112 divisors (see below), whose sum is σ = 108411264. Its totient is φ = 16035840.

The previous prime is 42484283. The next prime is 42484313. The reversal of 42484288 is 88248424.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42484288.

It is not an unprimeable number, because it can be changed into a prime (42484283) 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, 182220 + ... + 182452.

Almost surely, 2^42484288 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 42484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54205632).

42484288 is an abundant number, since it is smaller than the sum of its proper divisors (65926976).

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

42484288 is a wasteful number, since it uses less digits than its factorization.

42484288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its digits is 131072, while the sum is 40.

The square root of 42484288 is about 6517.9972384161. The cubic root of 42484288 is about 348.9335921791.

The spelling of 42484288 in words is "forty-two million, four hundred eighty-four thousand, two hundred eighty-eight".