1308483120 has 320 divisors, whose sum is σ = 4839690240. Its totient is φ = 286239744.

The previous prime is 1308483109. The next prime is 1308483157. The reversal of 1308483120 is 213848031.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4262007 + ... + 4262313.

It is an arithmetic number, because the mean of its divisors is an integer number (15124032).

Almost surely, 2^1308483120 is an apocalyptic number.

1308483120 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 1308483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419845120).

1308483120 is an abundant number, since it is smaller than the sum of its proper divisors (3531207120).

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

1308483120 is a wasteful number, since it uses less digits than its factorization.

1308483120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1308483120 is about 36172.9611726770. The cubic root of 1308483120 is about 1093.7616909988.

The spelling of 1308483120 in words is "one billion, three hundred eight million, four hundred eighty-three thousand, one hundred twenty".