1389211200 has 504 divisors, whose sum is σ = 5477185896. Its totient is φ = 331776000.

The previous prime is 1389211199. The next prime is 1389211207. The reversal of 1389211200 is 21129831.

It can be written as a sum of positive squares in 12 ways, for example, as 1323795456 + 65415744 = 36384^2 + 8088^2 .

It is not an unprimeable number, because it can be changed into a prime (1389211207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7675110 + ... + 7675290.

Almost surely, 2^1389211200 is an apocalyptic number.

1389211200 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 1389211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738592948).

1389211200 is an abundant number, since it is smaller than the sum of its proper divisors (4087974696).

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

1389211200 is a wasteful number, since it uses less digits than its factorization.

1389211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1389211200 is about 37272.1236314756. The cubic root of 1389211200 is about 1115.8078830661.

The spelling of 1389211200 in words is "one billion, three hundred eighty-nine million, two hundred eleven thousand, two hundred".