252965440 has 336 divisors, whose sum is σ = 809957232. Its totient is φ = 74317824.

The previous prime is 252965437. The next prime is 252965443. The reversal of 252965440 is 44569252.

It is an interprime number because it is at equal distance from previous prime (252965437) and next prime (252965443).

It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 251159104 = 1344^2 + 15848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 252965440.

It is not an unprimeable number, because it can be changed into a prime (252965443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3465244 + ... + 3465316.

It is an arithmetic number, because the mean of its divisors is an integer number (2410587).

Almost surely, 2^252965440 is an apocalyptic number.

252965440 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 252965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404978616).

252965440 is an abundant number, since it is smaller than the sum of its proper divisors (556991792).

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

252965440 is a wasteful number, since it uses less digits than its factorization.

252965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 252965440 is about 15904.8872991920. The cubic root of 252965440 is about 632.4415543802.

The spelling of 252965440 in words is "two hundred fifty-two million, nine hundred sixty-five thousand, four hundred forty".