1004203872 has 192 divisors, whose sum is σ = 3544611840. Its totient is φ = 270010368.

The previous prime is 1004203867. The next prime is 1004203873. The reversal of 1004203872 is 2783024001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004203873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97933 + ... + 107699.

It is an arithmetic number, because the mean of its divisors is an integer number (18461520).

Almost surely, 2^1004203872 is an apocalyptic number.

1004203872 is a gapful number since it is divisible by the number (12) 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 1004203872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772305920).

1004203872 is an abundant number, since it is smaller than the sum of its proper divisors (2540407968).

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

1004203872 is a wasteful number, since it uses less digits than its factorization.

1004203872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1004203872 is about 31689.1759438456. The cubic root of 1004203872 is about 1001.3993316243.

Adding to 1004203872 its reverse (2783024001), we get a palindrome (3787227873).

The spelling of 1004203872 in words is "one billion, four million, two hundred three thousand, eight hundred seventy-two".