252914240 has 112 divisors (see below), whose sum is σ = 634831344. Its totient is φ = 95846400.

The previous prime is 252914209. The next prime is 252914243. The reversal of 252914240 is 42419252.

252914240 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 8 ways, for example, as 13778944 + 239135296 = 3712^2 + 15464^2 .

It is a super-2 number, since 2×252914240² = 127931225589555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252914243) 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, 485180 + ... + 485700.

It is an arithmetic number, because the mean of its divisors is an integer number (5668137).

Almost surely, 2^252914240 is an apocalyptic number.

252914240 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 252914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317415672).

252914240 is an abundant number, since it is smaller than the sum of its proper divisors (381917104).

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

252914240 is a wasteful number, since it uses less digits than its factorization.

252914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 252914240 is about 15903.2776495916. The cubic root of 252914240 is about 632.3988829485.

The spelling of 252914240 in words is "two hundred fifty-two million, nine hundred fourteen thousand, two hundred forty".