1389315200 has 288 divisors, whose sum is σ = 4258834560. Its totient is φ = 438497280.

The previous prime is 1389315181. The next prime is 1389315211. The reversal of 1389315200 is 25139831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3785417 + ... + 3785783.

It is an arithmetic number, because the mean of its divisors is an integer number (14787620).

Almost surely, 2^1389315200 is an apocalyptic number.

1389315200 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 1389315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129417280).

1389315200 is an abundant number, since it is smaller than the sum of its proper divisors (2869519360).

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

1389315200 is a wasteful number, since it uses less digits than its factorization.

1389315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1389315200 is about 37273.5187499114. The cubic root of 1389315200 is about 1115.8357264745.

The spelling of 1389315200 in words is "one billion, three hundred eighty-nine million, three hundred fifteen thousand, two hundred".