240538368 has 144 divisors (see below), whose sum is σ = 740549376. Its totient is φ = 67891200.

The previous prime is 240538367. The next prime is 240538429. The reversal of 240538368 is 863835042.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (240538367) 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 15 ways as a sum of consecutive naturals, for example, 542755 + ... + 543197.

It is an arithmetic number, because the mean of its divisors is an integer number (5142704).

Almost surely, 2^240538368 is an apocalyptic number.

240538368 is a gapful number since it is divisible by the number (28) 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 240538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370274688).

240538368 is an abundant number, since it is smaller than the sum of its proper divisors (500011008).

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

240538368 is a wasteful number, since it uses less digits than its factorization.

240538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 240538368 is about 15509.2994039060. The cubic root of 240538368 is about 621.9108304330.

The spelling of 240538368 in words is "two hundred forty million, five hundred thirty-eight thousand, three hundred sixty-eight".