42392448 has 144 divisors (see below), whose sum is σ = 142094160. Its totient is φ = 12096000.

The previous prime is 42392447. The next prime is 42392459. The reversal of 42392448 is 84429324.

It is a tau number, because it is divible by the number of its divisors (144).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42392447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56073 + ... + 56823.

It is an arithmetic number, because the mean of its divisors is an integer number (986765).

Almost surely, 2^42392448 is an apocalyptic number.

42392448 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 42392448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71047080).

42392448 is an abundant number, since it is smaller than the sum of its proper divisors (99701712).

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

42392448 is a wasteful number, since it uses less digits than its factorization.

42392448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 42392448 is about 6510.9483180256. The cubic root of 42392448 is about 348.6819761728.

The spelling of 42392448 in words is "forty-two million, three hundred ninety-two thousand, four hundred forty-eight".