1380447600 has 360 divisors, whose sum is σ = 5450530608. Its totient is φ = 296755200.

The previous prime is 1380447599. The next prime is 1380447623. The reversal of 1380447600 is 67440831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 998910 + ... + 1000290.

Almost surely, 2^1380447600 is an apocalyptic number.

1380447600 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 1380447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725265304).

1380447600 is an abundant number, since it is smaller than the sum of its proper divisors (4070083008).

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

1380447600 is a wasteful number, since it uses less digits than its factorization.

1380447600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1380447600 is about 37154.3752470688. The cubic root of 1380447600 is about 1113.4566379103.

The spelling of 1380447600 in words is "one billion, three hundred eighty million, four hundred forty-seven thousand, six hundred".