1309404096 has 448 divisors, whose sum is σ = 5175260160. Its totient is φ = 313528320.

The previous prime is 1309404077. The next prime is 1309404119. The reversal of 1309404096 is 6904049031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1309404096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729350 + ... + 1730106.

It is an arithmetic number, because the mean of its divisors is an integer number (11551920).

Almost surely, 2^1309404096 is an apocalyptic number.

1309404096 is a gapful number since it is divisible by the number (16) 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 1309404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587630080).

1309404096 is an abundant number, since it is smaller than the sum of its proper divisors (3865856064).

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

1309404096 is a wasteful number, since it uses less digits than its factorization.

1309404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1309404096 is about 36185.6891049487. The cubic root of 1309404096 is about 1094.0182455818.

The spelling of 1309404096 in words is "one billion, three hundred nine million, four hundred four thousand, ninety-six".