1205526304 has 96 divisors (see below), whose sum is σ = 2610858096. Its totient is φ = 545587200.

The previous prime is 1205526293. The next prime is 1205526313. The reversal of 1205526304 is 4036255021.

It can be written as a sum of positive squares in 8 ways, for example, as 1201315600 + 4210704 = 34660^2 + 2052^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032632 + ... + 2033224.

Almost surely, 2^1205526304 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 1205526304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305429048).

1205526304 is an abundant number, since it is smaller than the sum of its proper divisors (1405331792).

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

1205526304 is a wasteful number, since it uses less digits than its factorization.

1205526304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1205526304 is about 34720.6898548978. The cubic root of 1205526304 is about 1064.2873420709.

The spelling of 1205526304 in words is "one billion, two hundred five million, five hundred twenty-six thousand, three hundred four".