1484712320 has 384 divisors, whose sum is σ = 4596315840. Its totient is φ = 448561152.

The previous prime is 1484712319. The next prime is 1484712347. The reversal of 1484712320 is 232174841.

1484712320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28013414 + ... + 28013466.

Almost surely, 2^1484712320 is an apocalyptic number.

1484712320 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 1484712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298157920).

1484712320 is an abundant number, since it is smaller than the sum of its proper divisors (3111603520).

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

1484712320 is a wasteful number, since it uses less digits than its factorization.

1484712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1484712320 is about 38531.9649122647. The cubic root of 1484712320 is about 1140.8120611901.

The spelling of 1484712320 in words is "one billion, four hundred eighty-four million, seven hundred twelve thousand, three hundred twenty".