240552 has 48 divisors (see below), whose sum is σ = 704340. Its totient is φ = 73728.

The previous prime is 240551. The next prime is 240571. The reversal of 240552 is 255042.

240552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 4356 = 486^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 240552.

It is not an unprimeable number, because it can be changed into a prime (240551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 808 + ... + 1064.

2²⁴⁰⁵⁵² 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 240552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352170).

240552 is an abundant number, since it is smaller than the sum of its proper divisors (463788).

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

240552 is a wasteful number, since it uses less digits than its factorization.

240552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 240552 is about 490.4610076245. The cubic root of 240552 is about 62.1922578702.

Adding to 240552 its reverse (255042), we get a palindrome (495594).

The spelling of 240552 in words is "two hundred forty thousand, five hundred fifty-two".