42488352 has 72 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 13703040.

The previous prime is 42488297. The next prime is 42488359. The reversal of 42488352 is 25388424.

It is a tau number, because it is divible by the number of its divisors (72).

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 (42488359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6549 + ... + 11307.

It is an arithmetic number, because the mean of its divisors is an integer number (1732640).

Almost surely, 2^42488352 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 42488352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

42488352 is an abundant number, since it is smaller than the sum of its proper divisors (82261728).

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

42488352 is a wasteful number, since it uses less digits than its factorization.

42488352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4795 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 42488352 is about 6518.3089831643. The cubic root of 42488352 is about 348.9447180249.

The spelling of 42488352 in words is "forty-two million, four hundred eighty-eight thousand, three hundred fifty-two".