1355282304 has 128 divisors (see below), whose sum is σ = 3738977280. Its totient is φ = 434503680.

The previous prime is 1355282261. The next prime is 1355282309. The reversal of 1355282304 is 4032825531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355282309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3059107 + ... + 3059549.

It is an arithmetic number, because the mean of its divisors is an integer number (29210760).

Almost surely, 2^1355282304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869488640).

1355282304 is an abundant number, since it is smaller than the sum of its proper divisors (2383694976).

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

1355282304 is a wasteful number, since it uses less digits than its factorization.

1355282304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1355282304 is about 36814.1590152485. The cubic root of 1355282304 is about 1106.6490679610.

The spelling of 1355282304 in words is "one billion, three hundred fifty-five million, two hundred eighty-two thousand, three hundred four".