42364224 has 252 divisors, whose sum is σ = 150571200. Its totient is φ = 11321856.

The previous prime is 42364219. The next prime is 42364247. The reversal of 42364224 is 42246324.

42364224 is a `hidden beast` number, since 4 + 236 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536217 + ... + 536295.

Almost surely, 2^42364224 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 42364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75285600).

42364224 is an abundant number, since it is smaller than the sum of its proper divisors (108206976).

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

42364224 is a wasteful number, since it uses less digits than its factorization.

42364224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 42364224 is about 6508.7805309443. The cubic root of 42364224 is about 348.6045772854.

The spelling of 42364224 in words is "forty-two million, three hundred sixty-four thousand, two hundred twenty-four".