1384000440 has 64 divisors (see below), whose sum is σ = 4170700800. Its totient is φ = 367404672.

The previous prime is 1384000439. The next prime is 1384000477. The reversal of 1384000440 is 440004831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1384000440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901 + ... + 52619.

It is an arithmetic number, because the mean of its divisors is an integer number (65167200).

Almost surely, 2^1384000440 is an apocalyptic number.

1384000440 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 1384000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085350400).

1384000440 is an abundant number, since it is smaller than the sum of its proper divisors (2786700360).

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

1384000440 is a wasteful number, since it uses less digits than its factorization.

1384000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51956 (or 51952 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1384000440 is about 37202.1563891127. The cubic root of 1384000440 is about 1114.4110492060.

The spelling of 1384000440 in words is "one billion, three hundred eighty-four million, four hundred forty", and thus it is an aban number.