1398384000 has 640 divisors, whose sum is σ = 5660534880. Its totient is φ = 340070400.

The previous prime is 1398383911. The next prime is 1398384047. The reversal of 1398384000 is 4838931.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1398384000² = 3910955622912000000, which contains 22 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 16847959 + ... + 16848041.

Almost surely, 2^1398384000 is an apocalyptic number.

1398384000 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 1398384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830267440).

1398384000 is an abundant number, since it is smaller than the sum of its proper divisors (4262150880).

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

1398384000 is an equidigital number, since it uses as much as digits as its factorization.

1398384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1398384000 is about 37394.9729241779. The cubic root of 1398384000 is about 1118.2583474743.

The spelling of 1398384000 in words is "one billion, three hundred ninety-eight million, three hundred eighty-four thousand".