42488 has 16 divisors (see below), whose sum is σ = 82080. Its totient is φ = 20608.

The previous prime is 42487. The next prime is 42491. The reversal of 42488 is 88424.

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

42488 is an undulating number in base 15.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42487) 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, 320 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2⁴²⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

42488 is a deficient number, since it is larger than the sum of its proper divisors (39592).

42488 is a wasteful number, since it uses less digits than its factorization.

42488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 42488 is about 206.1261749512. The cubic root of 42488 is about 34.8943754397.

It can be divided in two parts, 424 and 88, that added together give a 9-th power (512 = 2⁹).

The spelling of 42488 in words is "forty-two thousand, four hundred eighty-eight".