4224000 has 176 divisors, whose sum is σ = 15327936. Its totient is φ = 1024000.

The previous prime is 4223993. The next prime is 4224037. The reversal of 4224000 is 4224.

It is a tau number, because it is divible by the number of its divisors (176).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383995 + ... + 384005.

Almost surely, 2^4224000 is an apocalyptic number.

4224000 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 4224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663968).

4224000 is an abundant number, since it is smaller than the sum of its proper divisors (11103936).

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

4224000 is a wasteful number, since it uses less digits than its factorization.

4224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4224000 is about 2055.2372125864. The cubic root of 4224000 is about 161.6496008249.

Adding to 4224000 its reverse (4224), we get a palindrome (4228224).

4224000 divided by its reverse (4224) gives a cube (1000 = 10³).

It can be divided in two parts, 42 and 24000, that added together give a palindrome (24042).

The spelling of 4224000 in words is "four million, two hundred twenty-four thousand".