252000 has 144 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 57600.

The previous prime is 251983. The next prime is 252001. The reversal of 252000 is 252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001) by changing a digit.

252000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35997 + ... + 36003.

It is an arithmetic number, because the mean of its divisors is an integer number (7098).

2²⁵²⁰⁰⁰ is an apocalyptic number.

252000 is a gapful number since it is divisible by the number (20) 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 252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511056).

252000 is an abundant number, since it is smaller than the sum of its proper divisors (770112).

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

252000 is a wasteful number, since it uses less digits than its factorization.

252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 252000 is about 501.9960159204. The cubic root of 252000 is about 63.1635959766.

Adding to 252000 its reverse (252), we get a palindrome (252252).

252000 divided by its reverse (252) gives a cube (1000 = 10³).

It can be divided in two parts, 25 and 2000, that added together give a square (2025 = 45²).

The spelling of 252000 in words is "two hundred fifty-two thousand".