1308240000 has 480 divisors, whose sum is σ = 4970908800. Its totient is φ = 329472000.

The previous prime is 1308239993. The next prime is 1308240001. The reversal of 1308240000 is 428031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1308240000² = 3422983795200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308240001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 16559961 + ... + 16560039.

It is an arithmetic number, because the mean of its divisors is an integer number (10356060).

Almost surely, 2^1308240000 is an apocalyptic number.

1308240000 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 1308240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485454400).

1308240000 is an abundant number, since it is smaller than the sum of its proper divisors (3662668800).

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

1308240000 is an equidigital number, since it uses as much as digits as its factorization.

1308240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1308240000 is about 36169.6004954437. The cubic root of 1308240000 is about 1093.6939454266.

Adding to 1308240000 its reverse (428031), we get a palindrome (1308668031).

The spelling of 1308240000 in words is "one billion, three hundred eight million, two hundred forty thousand".