1004224000 has 320 divisors, whose sum is σ = 2895564672. Its totient is φ = 344064000.

The previous prime is 1004223959. The next prime is 1004224003. The reversal of 1004224000 is 4224001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004224003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14143965 + ... + 14144035.

Almost surely, 2^1004224000 is an apocalyptic number.

1004224000 is a gapful number since it is divisible by the number (10) 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 1004224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447782336).

1004224000 is an abundant number, since it is smaller than the sum of its proper divisors (1891340672).

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

1004224000 is an equidigital number, since it uses as much as digits as its factorization.

1004224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1004224000 is about 31689.4935270351. The cubic root of 1004224000 is about 1001.4060221751.

Adding to 1004224000 its reverse (4224001), we get a palindrome (1008448001).

Subtracting from 1004224000 its reverse (4224001), we obtain a palindrome (999999999).

The spelling of 1004224000 in words is "one billion, four million, two hundred twenty-four thousand".