1380409800 has 192 divisors, whose sum is σ = 5335372800. Its totient is φ = 286828800.

The previous prime is 1380409799. The next prime is 1380409859. The reversal of 1380409800 is 89040831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31261 + ... + 61139.

It is an arithmetic number, because the mean of its divisors is an integer number (27788400).

Almost surely, 2^1380409800 is an apocalyptic number.

1380409800 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 1380409800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667686400).

1380409800 is an abundant number, since it is smaller than the sum of its proper divisors (3954963000).

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

1380409800 is a wasteful number, since it uses less digits than its factorization.

1380409800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29916 (or 29907 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1380409800 is about 37153.8665551783. The cubic root of 1380409800 is about 1113.4464747707.

The spelling of 1380409800 in words is "one billion, three hundred eighty million, four hundred nine thousand, eight hundred".