1384560000 has 320 divisors, whose sum is σ = 5114300400. Its totient is φ = 368640000.

The previous prime is 1384559999. The next prime is 1384560007. The reversal of 1384560000 is 654831.

1384560000 is a `hidden beast` number, since 13 + 8 + 45 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384560007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159680 + ... + 2160320.

Almost surely, 2^1384560000 is an apocalyptic number.

1384560000 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 1384560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557150200).

1384560000 is an abundant number, since it is smaller than the sum of its proper divisors (3729740400).

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

1384560000 is an frugal number, since it uses more digits than its factorization.

1384560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1384560000 is about 37209.6761609128. The cubic root of 1384560000 is about 1114.5612167465.

The spelling of 1384560000 in words is "one billion, three hundred eighty-four million, five hundred sixty thousand".