252405 has 24 divisors (see below), whose sum is σ = 449280. Its totient is φ = 131040.

The previous prime is 252401. The next prime is 252409. The reversal of 252405 is 504252.

252405 is a nontrivial binomial coefficient, being equal to C(711, 2).

It is an interprime number because it is at equal distance from previous prime (252401) and next prime (252409).

It is not a de Polignac number, because 252405 - 2² = 252401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3156 + ... + 3234.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2²⁵²⁴⁰⁵ is an apocalyptic number.

252405 is the 710-th triangular number.

It is an amenable number.

252405 is a deficient number, since it is larger than the sum of its proper divisors (196875).

252405 is a wasteful number, since it uses less digits than its factorization.

252405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

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

The square root of 252405 is about 502.3992436300. The cubic root of 252405 is about 63.1974155061.

Adding to 252405 its reverse (504252), we get a palindrome (756657).

The spelling of 252405 in words is "two hundred fifty-two thousand, four hundred five".