1003200000 has 480 divisors, whose sum is σ = 3836004480. Its totient is φ = 230400000.

The previous prime is 1003199957. The next prime is 1003200049. The reversal of 1003200000 is 23001.

1003200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52799991 + ... + 52800009.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^1003200000 is an apocalyptic number.

1003200000 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 1003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918002240).

1003200000 is an abundant number, since it is smaller than the sum of its proper divisors (2832804480).

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

1003200000 is an frugal number, since it uses more digits than its factorization.

1003200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1003200000 is about 31673.3326317266. The cubic root of 1003200000 is about 1001.0655309073.

Adding to 1003200000 its reverse (23001), we get a palindrome (1003223001).

The spelling of 1003200000 in words is "one billion, three million, two hundred thousand".