253824 has 32 divisors (see below), whose sum is σ = 675240. Its totient is φ = 84480.

The previous prime is 253823. The next prime is 253853. The reversal of 253824 is 428352.

253824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 253794 and 253803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54 + ... + 714.

2²⁵³⁸²⁴ is an apocalyptic number.

253824 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 253824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337620).

253824 is an abundant number, since it is smaller than the sum of its proper divisors (421416).

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

253824 is an equidigital number, since it uses as much as digits as its factorization.

253824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 253824 is about 503.8094878027. The cubic root of 253824 is about 63.3156244733.

The spelling of 253824 in words is "two hundred fifty-three thousand, eight hundred twenty-four".