1003431200 has 72 divisors (see below), whose sum is σ = 2501839872. Its totient is φ = 392817920.

The previous prime is 1003431199. The next prime is 1003431217. The reversal of 1003431200 is 21343001.

1003431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24257 + ... + 50943.

It is an arithmetic number, because the mean of its divisors is an integer number (34747776).

Almost surely, 2^1003431200 is an apocalyptic number.

1003431200 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 1003431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250919936).

1003431200 is an abundant number, since it is smaller than the sum of its proper divisors (1498408672).

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

1003431200 is a wasteful number, since it uses less digits than its factorization.

1003431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26754 (or 26741 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1003431200 is about 31676.9821794943. The cubic root of 1003431200 is about 1001.1424276953.

Adding to 1003431200 its reverse (21343001), we get a palindrome (1024774201).

The spelling of 1003431200 in words is "one billion, three million, four hundred thirty-one thousand, two hundred".