42288224 has 48 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 18207360.

The previous prime is 42288193. The next prime is 42288227.

It is a happy number.

42288224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 (42288227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3527 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^42288224 is an apocalyptic number.

42288224 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 42288224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

42288224 is an abundant number, since it is smaller than the sum of its proper divisors (53330656).

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

42288224 is a wasteful number, since it uses less digits than its factorization.

42288224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6355 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 42288224 is about 6502.9396429615. The cubic root of 42288224 is about 348.3959908551.

The spelling of 42288224 in words is "forty-two million, two hundred eighty-eight thousand, two hundred twenty-four".