540252 has 36 divisors (see below), whose sum is σ = 1401400. Its totient is φ = 175392.

The previous prime is 540251. The next prime is 540269. The reversal of 540252 is 252045.

540252 is digitally balanced in base 2, 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 (36).

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1374 + ... + 1722.

2⁵⁴⁰²⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700700).

540252 is an abundant number, since it is smaller than the sum of its proper divisors (861148).

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

540252 is a wasteful number, since it uses less digits than its factorization.

540252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 397 counting only the distinct ones).

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

The square root of 540252 is about 735.0183671174. The cubic root of 540252 is about 81.4451938101.

Adding to 540252 its reverse (252045), we get a palindrome (792297).

The spelling of 540252 in words is "five hundred forty thousand, two hundred fifty-two".