1045331200 has 108 divisors (see below), whose sum is σ = 2602169388. Its totient is φ = 415744000.

The previous prime is 1045331099. The next prime is 1045331237. The reversal of 1045331200 is 21335401.

1045331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10036224 + 1035294976 = 3168^2 + 32176^2 .

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, 1490850 + ... + 1491550.

It is an arithmetic number, because the mean of its divisors is an integer number (24094161).

Almost surely, 2^1045331200 is an apocalyptic number.

1045331200 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 1045331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301084694).

1045331200 is an abundant number, since it is smaller than the sum of its proper divisors (1556838188).

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

1045331200 is an equidigital number, since it uses as much as digits as its factorization.

1045331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1045331200 is about 32331.5820831583. The cubic root of 1045331200 is about 1014.8876577353.

Adding to 1045331200 its reverse (21335401), we get a palindrome (1066666601).

The spelling of 1045331200 in words is "one billion, forty-five million, three hundred thirty-one thousand, two hundred".