1393848000 has 392 divisors, whose sum is σ = 5197083840. Its totient is φ = 370137600.

The previous prime is 1393847993. The next prime is 1393848011. The reversal of 1393848000 is 8483931.

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 55 ways as a sum of consecutive naturals, for example, 5831881 + ... + 5832119.

Almost surely, 2^1393848000 is an apocalyptic number.

1393848000 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 1393848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598541920).

1393848000 is an abundant number, since it is smaller than the sum of its proper divisors (3803235840).

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

1393848000 is an frugal number, since it uses more digits than its factorization.

1393848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

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

The square root of 1393848000 is about 37334.2737976782. The cubic root of 1393848000 is about 1117.0479230812.

The spelling of 1393848000 in words is "one billion, three hundred ninety-three million, eight hundred forty-eight thousand".