1004203200 has 1008 divisors, whose sum is σ = 4691644160. Its totient is φ = 182476800.

The previous prime is 1004203171. The next prime is 1004203217. The reversal of 1004203200 is 23024001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52852791 + ... + 52852809.

Almost surely, 2^1004203200 is an apocalyptic number.

1004203200 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 1004203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345822080).

1004203200 is an abundant number, since it is smaller than the sum of its proper divisors (3687440960).

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

1004203200 is a wasteful number, since it uses less digits than its factorization.

1004203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1004203200 is about 31689.1653408543. The cubic root of 1004203200 is about 1001.3991082499.

Adding to 1004203200 its reverse (23024001), we get a palindrome (1027227201).

The spelling of 1004203200 in words is "one billion, four million, two hundred three thousand, two hundred".