1304709120 has 720 divisors, whose sum is σ = 5535670140. Its totient is φ = 291962880.

The previous prime is 1304709061. The next prime is 1304709163. The reversal of 1304709120 is 219074031.

It can be written as a sum of positive squares in 2 ways, for example, as 1214383104 + 90326016 = 34848^2 + 9504^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1304709120² = 3404531775622348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100362234 + ... + 100362246.

Almost surely, 2^1304709120 is an apocalyptic number.

1304709120 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 1304709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767835070).

1304709120 is an abundant number, since it is smaller than the sum of its proper divisors (4230961020).

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

1304709120 is a wasteful number, since it uses less digits than its factorization.

1304709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1304709120 is about 36120.7574671407. The cubic root of 1304709120 is about 1092.7091155578.

The spelling of 1304709120 in words is "one billion, three hundred four million, seven hundred nine thousand, one hundred twenty".