252266440 has 64 divisors (see below), whose sum is σ = 585189360. Its totient is φ = 97812480.

The previous prime is 252266431. The next prime is 252266453. The reversal of 252266440 is 44662252.

It can be written as a sum of positive squares in 8 ways, for example, as 20557156 + 231709284 = 4534^2 + 15222^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 316122 + ... + 316918.

Almost surely, 2^252266440 is an apocalyptic number.

252266440 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 252266440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292594680).

252266440 is an abundant number, since it is smaller than the sum of its proper divisors (332922920).

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

252266440 is a wasteful number, since it uses less digits than its factorization.

252266440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 252266440 is about 15882.8977205043. The cubic root of 252266440 is about 631.8584912574.

The spelling of 252266440 in words is "two hundred fifty-two million, two hundred sixty-six thousand, four hundred forty".