253344 has 96 divisors (see below), whose sum is σ = 846720. Its totient is φ = 64512.

The previous prime is 253343. The next prime is 253349. The reversal of 253344 is 443352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 253344.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253344.

It is not an unprimeable number, because it can be changed into a prime (253343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8722 + ... + 8750.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2²⁵³³⁴⁴ is an apocalyptic number.

253344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

253344 is an abundant number, since it is smaller than the sum of its proper divisors (593376).

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

253344 is a wasteful number, since it uses less digits than its factorization.

253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 54 counting only the distinct ones).

The product of its digits is 1440, while the sum is 21.

The square root of 253344 is about 503.3328918320. The cubic root of 253344 is about 63.2756877751.

Adding to 253344 its reverse (443352), we get a palindrome (696696).

The spelling of 253344 in words is "two hundred fifty-three thousand, three hundred forty-four".