1484728320 has 192 divisors, whose sum is σ = 5031149760. Its totient is φ = 372506624.

The previous prime is 1484728309. The next prime is 1484728351. The reversal of 1484728320 is 238274841.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520819 + ... + 523661.

It is an arithmetic number, because the mean of its divisors is an integer number (26203905).

Almost surely, 2^1484728320 is an apocalyptic number.

1484728320 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 1484728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515574880).

1484728320 is an abundant number, since it is smaller than the sum of its proper divisors (3546421440).

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

1484728320 is a wasteful number, since it uses less digits than its factorization.

1484728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 1484728320 is about 38532.1725315353. The cubic root of 1484728320 is about 1140.8161591619.

The spelling of 1484728320 in words is "one billion, four hundred eighty-four million, seven hundred twenty-eight thousand, three hundred twenty".