1305742284 has 288 divisors, whose sum is σ = 4381977600. Its totient is φ = 317882880.

The previous prime is 1305742253. The next prime is 1305742303. The reversal of 1305742284 is 4822475031.

It is a happy number.

1305742284 is a `hidden beast` number, since 1 + 3 + 0 + 574 + 2 + 2 + 84 = 666.

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

It is a zygodrome in base 6.

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, 2974137 + ... + 2974575.

It is an arithmetic number, because the mean of its divisors is an integer number (15215200).

Almost surely, 2^1305742284 is an apocalyptic number.

1305742284 is a gapful number since it is divisible by the number (14) 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 1305742284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190988800).

1305742284 is an abundant number, since it is smaller than the sum of its proper divisors (3076235316).

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

1305742284 is a wasteful number, since it uses less digits than its factorization.

1305742284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1305742284 is about 36135.0561643399. The cubic root of 1305742284 is about 1092.9974684277.

The spelling of 1305742284 in words is "one billion, three hundred five million, seven hundred forty-two thousand, two hundred eighty-four".