1480321920 has 1024 divisors, whose sum is σ = 6768230400. Its totient is φ = 265420800.

The previous prime is 1480321861. The next prime is 1480321957. The reversal of 1480321920 is 291230841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47752305 + ... + 47752335.

It is an arithmetic number, because the mean of its divisors is an integer number (6609600).

Almost surely, 2^1480321920 is an apocalyptic number.

1480321920 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 1480321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384115200).

1480321920 is an abundant number, since it is smaller than the sum of its proper divisors (5287908480).

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

1480321920 is a wasteful number, since it uses less digits than its factorization.

1480321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1480321920 is about 38474.9518518217. The cubic root of 1480321920 is about 1139.6864634829.

The spelling of 1480321920 in words is "one billion, four hundred eighty million, three hundred twenty-one thousand, nine hundred twenty".