1243552000 has 72 divisors (see below), whose sum is σ = 3097923192. Its totient is φ = 497408000.

The previous prime is 1243551997. The next prime is 1243552001. The reversal of 1243552000 is 2553421.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 1243549696 = 48^2 + 35264^2 .

It is not an unprimeable number, because it can be changed into a prime (1243552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12570 + ... + 51430.

It is an arithmetic number, because the mean of its divisors is an integer number (43026711).

Almost surely, 2^1243552000 is an apocalyptic number.

1243552000 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 1243552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548961596).

1243552000 is an abundant number, since it is smaller than the sum of its proper divisors (1854371192).

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

1243552000 is an frugal number, since it uses more digits than its factorization.

1243552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38892 (or 38868 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1243552000 is about 35264.0326678615. The cubic root of 1243552000 is about 1075.3619116760.

The spelling of 1243552000 in words is "one billion, two hundred forty-three million, five hundred fifty-two thousand".