252540 has 72 divisors (see below), whose sum is σ = 812448. Its totient is φ = 63360.

The previous prime is 252533. The next prime is 252541. The reversal of 252540 is 45252.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 252540.

It is not an unprimeable number, because it can be changed into a prime (252541) by changing a digit.

252540 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, 4110 + ... + 4170.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2²⁵²⁵⁴⁰ is an apocalyptic number.

252540 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 252540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224).

252540 is an abundant number, since it is smaller than the sum of its proper divisors (559908).

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

252540 is a wasteful number, since it uses less digits than its factorization.

252540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 252540 is about 502.5335809675. The cubic root of 252540 is about 63.2086806428.

Adding to 252540 its reverse (45252), we get a palindrome (297792).

The spelling of 252540 in words is "two hundred fifty-two thousand, five hundred forty".