265323240 has 432 divisors, whose sum is σ = 1098384300. Its totient is φ = 55351296.

The previous prime is 265323229. The next prime is 265323241. The reversal of 265323240 is 42323562.

265323240 is a `hidden beast` number, since 2 + 653 + 2 + 3 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6563844 + 258759396 = 2562^2 + 16086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (265323241) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 2981116 + ... + 2981204.

Almost surely, 2^265323240 is an apocalyptic number.

265323240 is a gapful number since it is divisible by the number (20) 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 265323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549192150).

265323240 is an abundant number, since it is smaller than the sum of its proper divisors (833061060).

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

265323240 is a wasteful number, since it uses less digits than its factorization.

265323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

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

The square root of 265323240 is about 16288.7458080725. The cubic root of 265323240 is about 642.5768827032.

The spelling of 265323240 in words is "two hundred sixty-five million, three hundred twenty-three thousand, two hundred forty".