1480960 has 72 divisors (see below), whose sum is σ = 3863160. Its totient is φ = 540672.

The previous prime is 1480937. The next prime is 1480991. The reversal of 1480960 is 690841.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 1478656 = 48^2 + 1216^2 .

It is a super-3 number, since 3×1480960³ = 9744313334366208000, which contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16596 + ... + 16684.

It is an arithmetic number, because the mean of its divisors is an integer number (53655).

2^1480960 is an apocalyptic number.

1480960 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 1480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931580).

1480960 is an abundant number, since it is smaller than the sum of its proper divisors (2382200).

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

1480960 is an equidigital number, since it uses as much as digits as its factorization.

1480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1480960 is about 1216.9469996676. The cubic root of 1480960 is about 113.9850190635.

The spelling of 1480960 in words is "one million, four hundred eighty thousand, nine hundred sixty".