240450252 has 144 divisors (see below), whose sum is σ = 689472000. Its totient is φ = 64934016.

The previous prime is 240450239. The next prime is 240450271. The reversal of 240450252 is 252054042.

It is a happy number.

240450252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005949 + ... + 1006187.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^240450252 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 240450252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

240450252 is an abundant number, since it is smaller than the sum of its proper divisors (449021748).

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

240450252 is a wasteful number, since it uses less digits than its factorization.

240450252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 240450252 is about 15506.4583964231. The cubic root of 240450252 is about 621.8348799888.

The spelling of 240450252 in words is "two hundred forty million, four hundred fifty thousand, two hundred fifty-two".