42509824 has 80 divisors (see below), whose sum is σ = 100663200. Its totient is φ = 17547264.

The previous prime is 42509807. The next prime is 42509827. The reversal of 42509824 is 42890524.

It is a self number, because there is not a number n which added to its sum of digits gives 42509824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42509827) 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 7 ways as a sum of consecutive naturals, for example, 103732 + ... + 104140.

It is an arithmetic number, because the mean of its divisors is an integer number (1258290).

Almost surely, 2^42509824 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 42509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331600).

42509824 is an abundant number, since it is smaller than the sum of its proper divisors (58153376).

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

42509824 is an equidigital number, since it uses as much as digits as its factorization.

42509824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 42509824 is about 6519.9558280712. The cubic root of 42509824 is about 349.0034892632.

The spelling of 42509824 in words is "forty-two million, five hundred nine thousand, eight hundred twenty-four".