240438528 has 216 divisors, whose sum is σ = 774839520. Its totient is φ = 71086080.

The previous prime is 240438503. The next prime is 240438533. The reversal of 240438528 is 825834042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240438492 and 240438501.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1343143 + ... + 1343321.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^240438528 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 240438528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387419760).

240438528 is an abundant number, since it is smaller than the sum of its proper divisors (534400992).

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

240438528 is a wasteful number, since it uses less digits than its factorization.

240438528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 240438528 is about 15506.0803557830. The cubic root of 240438528 is about 621.8247732403.

The spelling of 240438528 in words is "two hundred forty million, four hundred thirty-eight thousand, five hundred twenty-eight".