1309956480 has 384 divisors, whose sum is σ = 5275782720. Its totient is φ = 293289984.

The previous prime is 1309956443. The next prime is 1309956497. The reversal of 1309956480 is 846599031.

It is a happy number.

1309956480 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 9 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2136654 + ... + 2137266.

Almost surely, 2^1309956480 is an apocalyptic number.

1309956480 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 1309956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637891360).

1309956480 is an abundant number, since it is smaller than the sum of its proper divisors (3965826240).

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

1309956480 is a wasteful number, since it uses less digits than its factorization.

1309956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1309956480 is about 36193.3209308016. The cubic root of 1309956480 is about 1094.1720644620.

The spelling of 1309956480 in words is "one billion, three hundred nine million, nine hundred fifty-six thousand, four hundred eighty".