1480609000 has 96 divisors (see below), whose sum is σ = 3752063640. Its totient is φ = 546624000.

The previous prime is 1480608979. The next prime is 1480609037. The reversal of 1480609000 is 9060841.

It can be written as a sum of positive squares in 12 ways, for example, as 838797444 + 641811556 = 28962^2 + 25334^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1480609000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164620 + ... + 173380.

Almost surely, 2^1480609000 is an apocalyptic number.

1480609000 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 1480609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876031820).

1480609000 is an abundant number, since it is smaller than the sum of its proper divisors (2271454640).

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

1480609000 is a wasteful number, since it uses less digits than its factorization.

1480609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808 (or 8781 counting only the distinct ones).

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

The square root of 1480609000 is about 38478.6824098747. The cubic root of 1480609000 is about 1139.7601321531.

Adding to 1480609000 its reverse (9060841), we get a palindrome (1489669841).

The spelling of 1480609000 in words is "one billion, four hundred eighty million, six hundred nine thousand".