1380352400 has 240 divisors, whose sum is σ = 4105022976. Its totient is φ = 435240960.

The previous prime is 1380352367. The next prime is 1380352423. The reversal of 1380352400 is 42530831.

It is a self number, because there is not a number n which added to its sum of digits gives 1380352400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2236892 + ... + 2237508.

Almost surely, 2^1380352400 is an apocalyptic number.

1380352400 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 1380352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052511488).

1380352400 is an abundant number, since it is smaller than the sum of its proper divisors (2724670576).

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

1380352400 is a wasteful number, since it uses less digits than its factorization.

1380352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1380352400 is about 37153.0940838041. The cubic root of 1380352400 is about 1113.4310415002.

The spelling of 1380352400 in words is "one billion, three hundred eighty million, three hundred fifty-two thousand, four hundred".