1484688000 has 128 divisors (see below), whose sum is σ = 4921899840. Its totient is φ = 395904000.

The previous prime is 1484687999. The next prime is 1484688017. The reversal of 1484688000 is 8864841.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1484688000.

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 15 ways as a sum of consecutive naturals, for example, 32535 + ... + 63465.

Almost surely, 2^1484688000 is an apocalyptic number.

1484688000 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 1484688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460949920).

1484688000 is an abundant number, since it is smaller than the sum of its proper divisors (3437211840).

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

1484688000 is an equidigital number, since it uses as much as digits as its factorization.

1484688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30963 (or 30941 counting only the distinct ones).

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

The square root of 1484688000 is about 38531.6493288310. The cubic root of 1484688000 is about 1140.8058322167.

The spelling of 1484688000 in words is "one billion, four hundred eighty-four million, six hundred eighty-eight thousand".