1389015600 has 480 divisors, whose sum is σ = 5499933696. Its totient is φ = 292454400.

The previous prime is 1389015599. The next prime is 1389015601. The reversal of 1389015600 is 65109831.

It is an interprime number because it is at equal distance from previous prime (1389015599) and next prime (1389015601).

It is not an unprimeable number, because it can be changed into a prime (1389015601) 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 95 ways as a sum of consecutive naturals, for example, 10138732 + ... + 10138868.

Almost surely, 2^1389015600 is an apocalyptic number.

1389015600 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 1389015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749966848).

1389015600 is an abundant number, since it is smaller than the sum of its proper divisors (4110918096).

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

1389015600 is a wasteful number, since it uses less digits than its factorization.

1389015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1389015600 is about 37269.4995941722. The cubic root of 1389015600 is about 1115.7555122757.

The spelling of 1389015600 in words is "one billion, three hundred eighty-nine million, fifteen thousand, six hundred".