1484368288 has 144 divisors (see below), whose sum is σ = 3363171840. Its totient is φ = 640673280.

The previous prime is 1484368279. The next prime is 1484368309. The reversal of 1484368288 is 8828634841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18789433 + ... + 18789511.

It is an arithmetic number, because the mean of its divisors is an integer number (23355360).

Almost surely, 2^1484368288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1484368288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681585920).

1484368288 is an abundant number, since it is smaller than the sum of its proper divisors (1878803552).

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

1484368288 is a wasteful number, since it uses less digits than its factorization.

1484368288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The square root of 1484368288 is about 38527.5004120433. The cubic root of 1484368288 is about 1140.7239394784.

The spelling of 1484368288 in words is "one billion, four hundred eighty-four million, three hundred sixty-eight thousand, two hundred eighty-eight".