42224000 has 256 divisors, whose sum is σ = 133660800. Its totient is φ = 12902400.

The previous prime is 42223997. The next prime is 42224033. The reversal of 42224000 is 42224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1455986 + ... + 1456014.

Almost surely, 2^42224000 is an apocalyptic number.

42224000 is a gapful number since it is divisible by the number (40) 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 42224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

42224000 is an abundant number, since it is smaller than the sum of its proper divisors (91436800).

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

42224000 is a wasteful number, since it uses less digits than its factorization.

42224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42224000 is about 6497.9996922130. Note that the first 3 decimals coincide. The cubic root of 42224000 is about 348.2195294286.

Adding to 42224000 its reverse (42224), we get a palindrome (42266224).

42224000 divided by its reverse (42224) gives a cube (1000 = 10³).

The spelling of 42224000 in words is "forty-two million, two hundred twenty-four thousand".