240261520 has 40 divisors (see below), whose sum is σ = 577875960. Its totient is φ = 92789760.

The previous prime is 240261503. The next prime is 240261529. The reversal of 240261520 is 25162042.

It can be written as a sum of positive squares in 4 ways, for example, as 1373584 + 238887936 = 1172^2 + 15456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 240261491 and 240261500.

It is not an unprimeable number, because it can be changed into a prime (240261529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49461 + ... + 54100.

It is an arithmetic number, because the mean of its divisors is an integer number (14446899).

Almost surely, 2^240261520 is an apocalyptic number.

240261520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240261520 is an abundant number, since it is smaller than the sum of its proper divisors (337614440).

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

240261520 is a wasteful number, since it uses less digits than its factorization.

240261520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103603 (or 103597 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 240261520 is about 15500.3716084486. The cubic root of 240261520 is about 621.6721424318.

The spelling of 240261520 in words is "two hundred forty million, two hundred sixty-one thousand, five hundred twenty".