1032231200 has 288 divisors, whose sum is σ = 3386033280. Its totient is φ = 296755200.

The previous prime is 1032231181. The next prime is 1032231209. The reversal of 1032231200 is 21322301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1032231209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800156 + ... + 801444.

It is an arithmetic number, because the mean of its divisors is an integer number (11757060).

Almost surely, 2^1032231200 is an apocalyptic number.

1032231200 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 1032231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693016640).

1032231200 is an abundant number, since it is smaller than the sum of its proper divisors (2353802080).

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

1032231200 is a wasteful number, since it uses less digits than its factorization.

1032231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1327 counting only the distinct ones).

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

The square root of 1032231200 is about 32128.3550777191. The cubic root of 1032231200 is about 1010.6303290155.

Adding to 1032231200 its reverse (21322301), we get a palindrome (1053553501).

It can be divided in two parts, 1032 and 231200, that added together give a palindrome (232232).

The spelling of 1032231200 in words is "one billion, thirty-two million, two hundred thirty-one thousand, two hundred".