252384 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 76160.

The previous prime is 252383. The next prime is 252391. The reversal of 252384 is 483252.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2²⁵²³⁸⁴ is an apocalyptic number.

252384 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 252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

252384 is an abundant number, since it is smaller than the sum of its proper divisors (473376).

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

252384 is a wasteful number, since it uses less digits than its factorization.

252384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

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

The square root of 252384 is about 502.3783434823. The cubic root of 252384 is about 63.1956627905.

It can be divided in two parts, 252 and 384, that added together give a palindrome (636).

The spelling of 252384 in words is "two hundred fifty-two thousand, three hundred eighty-four".