1486848000 has 384 divisors, whose sum is σ = 5438880720. Its totient is φ = 360448000.

The previous prime is 1486847959. The next prime is 1486848001. The reversal of 1486848000 is 8486841.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1486848000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1486848001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135167995 + ... + 135168005.

Almost surely, 2^1486848000 is an apocalyptic number.

1486848000 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 1486848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719440360).

1486848000 is an abundant number, since it is smaller than the sum of its proper divisors (3952032720).

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

1486848000 is an frugal number, since it uses more digits than its factorization.

1486848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1486848000 is about 38559.6680483637. The cubic root of 1486848000 is about 1141.3587983565.

The spelling of 1486848000 in words is "one billion, four hundred eighty-six million, eight hundred forty-eight thousand".