1321480900 has 72 divisors (see below), whose sum is σ = 2978949960. Its totient is φ = 508400640.

The previous prime is 1321480891. The next prime is 1321480943. The reversal of 1321480900 is 90841231.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 105842944 + 1215637956 = 10288^2 + 34866^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327294 + ... + 331306.

It is an arithmetic number, because the mean of its divisors is an integer number (41374305).

Almost surely, 2^1321480900 is an apocalyptic number.

1321480900 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 1321480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489474980).

1321480900 is an abundant number, since it is smaller than the sum of its proper divisors (1657469060).

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

1321480900 is a wasteful number, since it uses less digits than its factorization.

1321480900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4146 counting only the distinct ones).

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

The square root of 1321480900 is about 36352.1787517612. The cubic root of 1321480900 is about 1097.3713819212.

The spelling of 1321480900 in words is "one billion, three hundred twenty-one million, four hundred eighty thousand, nine hundred".