42024224 has 48 divisors (see below), whose sum is σ = 90792576. Its totient is φ = 18988800.

The previous prime is 42024217. The next prime is 42024239. The reversal of 42024224 is 42242024.

It is a junction number, because it is equal to n+sod(n) for n = 42024196 and 42024205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97289 + ... + 97719.

It is an arithmetic number, because the mean of its divisors is an integer number (1891512).

Almost surely, 2^42024224 is an apocalyptic number.

42024224 is a gapful number since it is divisible by the number (44) 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 42024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45396288).

42024224 is an abundant number, since it is smaller than the sum of its proper divisors (48768352).

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

42024224 is a wasteful number, since it uses less digits than its factorization.

42024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42024224 is about 6482.6093511795. The cubic root of 42024224 is about 347.6694796364.

Adding to 42024224 its reverse (42242024), we get a palindrome (84266248).

The spelling of 42024224 in words is "forty-two million, twenty-four thousand, two hundred twenty-four".