1484380128 has 144 divisors (see below), whose sum is σ = 4944893184. Its totient is φ = 385539840.

The previous prime is 1484380127. The next prime is 1484380151. The reversal of 1484380128 is 8210834841.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484380123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37401 + ... + 66087.

It is an arithmetic number, because the mean of its divisors is an integer number (34339536).

Almost surely, 2^1484380128 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 1484380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472446592).

1484380128 is an abundant number, since it is smaller than the sum of its proper divisors (3460513056).

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

1484380128 is a wasteful number, since it uses less digits than its factorization.

1484380128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28725 (or 28710 counting only the distinct ones).

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

The square root of 1484380128 is about 38527.6540682144. The cubic root of 1484380128 is about 1140.7269724489.

The spelling of 1484380128 in words is "one billion, four hundred eighty-four million, three hundred eighty thousand, one hundred twenty-eight".