1188870400 has 81 divisors (see below), whose sum is σ = 2949483313. Its totient is φ = 474444800.

The previous prime is 1188870373. The next prime is 1188870409. The reversal of 1188870400 is 40788811.

The square root of 1188870400 is 34480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 427993344 + 760877056 = 20688^2 + 27584^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1188870400.

It is not an unprimeable number, because it can be changed into a prime (1188870409) 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 8 ways as a sum of consecutive naturals, for example, 2758185 + ... + 2758615.

Almost surely, 2^1188870400 is an apocalyptic number.

1188870400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1188870400 is the 34480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1188870400

1188870400 is an abundant number, since it is smaller than the sum of its proper divisors (1760612913).

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

1188870400 is an frugal number, since it uses more digits than its factorization.

1188870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The cubic root of 1188870400 is about 1059.3630919323.

The spelling of 1188870400 in words is "one billion, one hundred eighty-eight million, eight hundred seventy thousand, four hundred".