253005440 has 32 divisors (see below), whose sum is σ = 604842660. Its totient is φ = 101201920.

The previous prime is 253005439. The next prime is 253005443. The reversal of 253005440 is 44500352.

It can be written as a sum of positive squares in 2 ways, for example, as 252682816 + 322624 = 15896^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (253005443) 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 3 ways as a sum of consecutive naturals, for example, 197021 + ... + 198300.

Almost surely, 2^253005440 is an apocalyptic number.

253005440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253005440 is an abundant number, since it is smaller than the sum of its proper divisors (351837220).

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

253005440 is an equidigital number, since it uses as much as digits as its factorization.

253005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395340 (or 395328 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 253005440 is about 15906.1447246025. The cubic root of 253005440 is about 632.4748874301.

Adding to 253005440 its reverse (44500352), we get a palindrome (297505792).

The spelling of 253005440 in words is "two hundred fifty-three million, five thousand, four hundred forty".