305220564 has 108 divisors (see below), whose sum is σ = 869237460. Its totient is φ = 90182400.

The previous prime is 305220527. The next prime is 305220593. The reversal of 305220564 is 465022503.

305220564 is a `hidden beast` number, since 30 + 52 + 20 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32970564 + 272250000 = 5742^2 + 16500^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177742 + ... + 179450.

It is an arithmetic number, because the mean of its divisors is an integer number (8048495).

Almost surely, 2^305220564 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 305220564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434618730).

305220564 is an abundant number, since it is smaller than the sum of its proper divisors (564016896).

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

305220564 is a wasteful number, since it uses less digits than its factorization.

305220564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 305220564 is about 17470.5627842952. The cubic root of 305220564 is about 673.2937713797.

The spelling of 305220564 in words is "three hundred five million, two hundred twenty thousand, five hundred sixty-four".