1304135280 has 480 divisors, whose sum is σ = 5481934848. Its totient is φ = 270950400.

The previous prime is 1304135279. The next prime is 1304135321. The reversal of 1304135280 is 825314031.

It is a happy number.

1304135280 is a `hidden beast` number, since 1 + 304 + 1 + 352 + 8 + 0 = 666.

1304135280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2655835 + ... + 2656325.

Almost surely, 2^1304135280 is an apocalyptic number.

1304135280 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 1304135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740967424).

1304135280 is an abundant number, since it is smaller than the sum of its proper divisors (4177799568).

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

1304135280 is a wasteful number, since it uses less digits than its factorization.

1304135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1304135280 is about 36112.8132385169. The cubic root of 1304135280 is about 1092.5488928332.

The spelling of 1304135280 in words is "one billion, three hundred four million, one hundred thirty-five thousand, two hundred eighty".