1383382800 has 150 divisors (see below), whose sum is σ = 4964966138. Its totient is φ = 368893440.

The previous prime is 1383382789. The next prime is 1383382801. The reversal of 1383382800 is 82833831.

It can be written as a sum of positive squares in 3 ways, for example, as 3111696 + 1380271104 = 1764^2 + 37152^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1383382801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11052 + ... + 53748.

Almost surely, 2^1383382800 is an apocalyptic number.

1383382800 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 1383382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482483069).

1383382800 is an abundant number, since it is smaller than the sum of its proper divisors (3581583338).

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

1383382800 is a wasteful number, since it uses less digits than its factorization.

1383382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42727 (or 42707 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1383382800 is about 37193.8543310585. The cubic root of 1383382800 is about 1114.2452478965.

The spelling of 1383382800 in words is "one billion, three hundred eighty-three million, three hundred eighty-two thousand, eight hundred".