1383440800 has 216 divisors, whose sum is σ = 4043553696. Its totient is φ = 452728320.

The previous prime is 1383440797. The next prime is 1383440801. The reversal of 1383440800 is 80443831.

It is a super-3 number, since 3×1383440800³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1383440801) 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 35 ways as a sum of consecutive naturals, for example, 2962167 + ... + 2962633.

It is an arithmetic number, because the mean of its divisors is an integer number (18720156).

Almost surely, 2^1383440800 is an apocalyptic number.

1383440800 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 1383440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021776848).

1383440800 is an abundant number, since it is smaller than the sum of its proper divisors (2660112896).

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

1383440800 is a wasteful number, since it uses less digits than its factorization.

1383440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1383440800 is about 37194.6340215897. The cubic root of 1383440800 is about 1114.2608197062.

The spelling of 1383440800 in words is "one billion, three hundred eighty-three million, four hundred forty thousand, eight hundred".