253541440 has 28 divisors (see below), whose sum is σ = 603746316. Its totient is φ = 101416448.

The previous prime is 253541423. The next prime is 253541441. The reversal of 253541440 is 44145352.

It can be written as a sum of positive squares in 2 ways, for example, as 135862336 + 117679104 = 11656^2 + 10848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 253541399 and 253541408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253541441) 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 3 ways as a sum of consecutive naturals, for example, 395839 + ... + 396478.

Almost surely, 2^253541440 is an apocalyptic number.

253541440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253541440 is an abundant number, since it is smaller than the sum of its proper divisors (350204876).

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

253541440 is an equidigital number, since it uses as much as digits as its factorization.

253541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792334 (or 792324 counting only the distinct ones).

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

The square root of 253541440 is about 15922.9846448460. The cubic root of 253541440 is about 632.9212117230.

Adding to 253541440 its reverse (44145352), we get a palindrome (297686792).

The spelling of 253541440 in words is "two hundred fifty-three million, five hundred forty-one thousand, four hundred forty".