253744 has 10 divisors (see below), whose sum is σ = 491660. Its totient is φ = 126864.

The previous prime is 253741. The next prime is 253751. The reversal of 253744 is 447352.

253744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253741) 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 as a sum of consecutive naturals, namely, 7914 + ... + 7945.

It is an arithmetic number, because the mean of its divisors is an integer number (49166).

2²⁵³⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

253744 is a deficient number, since it is larger than the sum of its proper divisors (237916).

253744 is a wasteful number, since it uses less digits than its factorization.

253744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15867 (or 15861 counting only the distinct ones).

The product of its digits is 3360, while the sum is 25.

The square root of 253744 is about 503.7300864550. The cubic root of 253744 is about 63.3089718554.

It can be divided in two parts, 2537 and 44, that multiplied together give a triangular number (111628 = T₄₇₂).

The spelling of 253744 in words is "two hundred fifty-three thousand, seven hundred forty-four".