252310240 has 288 divisors, whose sum is σ = 779175936. Its totient is φ = 75479040.

The previous prime is 252310231. The next prime is 252310259. The reversal of 252310240 is 42013252.

252310240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5867659 + ... + 5867701.

It is an arithmetic number, because the mean of its divisors is an integer number (2705472).

Almost surely, 2^252310240 is an apocalyptic number.

252310240 is a gapful number since it is divisible by the number (20) 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 252310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389587968).

252310240 is an abundant number, since it is smaller than the sum of its proper divisors (526865696).

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

252310240 is a wasteful number, since it uses less digits than its factorization.

252310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 252310240 is about 15884.2765022522. The cubic root of 252310240 is about 631.8950581512.

Adding to 252310240 its reverse (42013252), we get a palindrome (294323492).

The spelling of 252310240 in words is "two hundred fifty-two million, three hundred ten thousand, two hundred forty".