252441 has 12 divisors (see below), whose sum is σ = 416832. Its totient is φ = 144216.

The previous prime is 252431. The next prime is 252443. The reversal of 252441 is 144252.

It is not a de Polignac number, because 252441 - 2⁵ = 252409 is a prime.

252441 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252441.

It is not an unprimeable number, because it can be changed into a prime (252443) 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, 1941 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (34736).

2²⁵²⁴⁴¹ is an apocalyptic number.

252441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

252441 is a deficient number, since it is larger than the sum of its proper divisors (164391).

252441 is a wasteful number, since it uses less digits than its factorization.

252441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4017 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 252441 is about 502.4350704320. The cubic root of 252441 is about 63.2004199353.

Adding to 252441 its reverse (144252), we get a palindrome (396693).

The spelling of 252441 in words is "two hundred fifty-two thousand, four hundred forty-one".