42338448 has 60 divisors (see below), whose sum is σ = 119038140. Its totient is φ = 14047488.

The previous prime is 42338447. The next prime is 42338473. The reversal of 42338448 is 84483324.

It can be written as a sum of positive squares in 2 ways, for example, as 24088464 + 18249984 = 4908^2 + 4272^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (42338447) 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, 38190 + ... + 39282.

It is an arithmetic number, because the mean of its divisors is an integer number (1983969).

Almost surely, 2^42338448 is an apocalyptic number.

42338448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42338448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59519070).

42338448 is an abundant number, since it is smaller than the sum of its proper divisors (76699692).

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

42338448 is a wasteful number, since it uses less digits than its factorization.

42338448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1367 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 42338448 is about 6506.8001352431. The cubic root of 42338448 is about 348.5338615277.

The spelling of 42338448 in words is "forty-two million, three hundred thirty-eight thousand, four hundred forty-eight".