253944 has 24 divisors (see below), whose sum is σ = 687960. Its totient is φ = 84624.

The previous prime is 253937. The next prime is 253949. The reversal of 253944 is 449352.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1692 + ... + 1835.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2²⁵³⁹⁴⁴ is an apocalyptic number.

253944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253944 is an abundant number, since it is smaller than the sum of its proper divisors (434016).

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

253944 is a wasteful number, since it uses less digits than its factorization.

253944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3532 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 253944 is about 503.9285663663. The cubic root of 253944 is about 63.3256007796.

It can be divided in two parts, 253 and 944, that multiplied together give a palindrome (238832).

The spelling of 253944 in words is "two hundred fifty-three thousand, nine hundred forty-four".