240330564 has 60 divisors (see below), whose sum is σ = 665243964. Its totient is φ = 75396096.

The previous prime is 240330557. The next prime is 240330617. The reversal of 240330564 is 465033042.

It can be written as a sum of positive squares in 2 ways, for example, as 207360000 + 32970564 = 14400^2 + 5742^2 .

It is a super-3 number, since 3×240330564³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 16309 + ... + 27324.

Almost surely, 2^240330564 is an apocalyptic number.

It is an amenable number.

240330564 is an abundant number, since it is smaller than the sum of its proper divisors (424913400).

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

240330564 is a wasteful number, since it uses less digits than its factorization.

240330564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43666 (or 43655 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 240330564 is about 15502.5986208764. The cubic root of 240330564 is about 621.7316867435.

The spelling of 240330564 in words is "two hundred forty million, three hundred thirty thousand, five hundred sixty-four".