253514440 has 16 divisors (see below), whose sum is σ = 570407580. Its totient is φ = 101405760.

The previous prime is 253514413. The next prime is 253514461. The reversal of 253514440 is 44415352.

It can be written as a sum of positive squares in 2 ways, for example, as 253510084 + 4356 = 15922^2 + 66^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253514399 and 253514408.

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 3 ways as a sum of consecutive naturals, for example, 3168891 + ... + 3168970.

Almost surely, 2^253514440 is an apocalyptic number.

253514440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253514440 is an abundant number, since it is smaller than the sum of its proper divisors (316893140).

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

253514440 is a wasteful number, since it uses less digits than its factorization.

253514440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337872 (or 6337868 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 253514440 is about 15922.1367912727. The cubic root of 253514440 is about 632.8987440226.

Adding to 253514440 its reverse (44415352), we get a palindrome (297929792).

It can be divided in two parts, 25351 and 4440, that added together give a cube (29791 = 31³).

The spelling of 253514440 in words is "two hundred fifty-three million, five hundred fourteen thousand, four hundred forty".