1484660320 has 288 divisors, whose sum is σ = 4408828704. Its totient is φ = 467681280.

The previous prime is 1484660311. The next prime is 1484660321. The reversal of 1484660320 is 230664841.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484660321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4278387 + ... + 4278733.

It is an arithmetic number, because the mean of its divisors is an integer number (15308433).

Almost surely, 2^1484660320 is an apocalyptic number.

1484660320 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 1484660320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204414352).

1484660320 is an abundant number, since it is smaller than the sum of its proper divisors (2924168384).

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

1484660320 is a wasteful number, since it uses less digits than its factorization.

1484660320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1484660320 is about 38531.2901419093. The cubic root of 1484660320 is about 1140.7987425786.

The spelling of 1484660320 in words is "one billion, four hundred eighty-four million, six hundred sixty thousand, three hundred twenty".