1480708320 has 384 divisors, whose sum is σ = 5811886080. Its totient is φ = 308551680.

The previous prime is 1480708319. The next prime is 1480708321. The reversal of 1480708320 is 238070841.

It is an interprime number because it is at equal distance from previous prime (1480708319) and next prime (1480708321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480708321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760965 + ... + 4761275.

It is an arithmetic number, because the mean of its divisors is an integer number (15135120).

Almost surely, 2^1480708320 is an apocalyptic number.

1480708320 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 1480708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905943040).

1480708320 is an abundant number, since it is smaller than the sum of its proper divisors (4331177760).

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

1480708320 is a wasteful number, since it uses less digits than its factorization.

1480708320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1480708320 is about 38479.9729729635. The cubic root of 1480708320 is about 1139.7856168119.

The spelling of 1480708320 in words is "one billion, four hundred eighty million, seven hundred eight thousand, three hundred twenty".