42505344 has 192 divisors, whose sum is σ = 146512800. Its totient is φ = 12096000.

The previous prime is 42505327. The next prime is 42505363. The reversal of 42505344 is 44350524.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169219 + ... + 169469.

Almost surely, 2^42505344 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 42505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

42505344 is an abundant number, since it is smaller than the sum of its proper divisors (104007456).

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

42505344 is a wasteful number, since it uses less digits than its factorization.

42505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 42505344 is about 6519.6122584092. The cubic root of 42505344 is about 348.9912286419.

Adding to 42505344 its reverse (44350524), we get a palindrome (86855868).

It can be divided in two parts, 42505 and 344, that added together give a square (42849 = 207²).

The spelling of 42505344 in words is "forty-two million, five hundred five thousand, three hundred forty-four".