252000405 has 24 divisors (see below), whose sum is σ = 438647040. Its totient is φ = 133832160.

The previous prime is 252000383. The next prime is 252000407. The reversal of 252000405 is 504000252.

It is not a de Polignac number, because 252000405 - 2⁶ = 252000341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252000407) 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, 961 + ... + 22470.

It is an arithmetic number, because the mean of its divisors is an integer number (18276960).

Almost surely, 2^252000405 is an apocalyptic number.

It is an amenable number.

252000405 is a deficient number, since it is larger than the sum of its proper divisors (186646635).

252000405 is a wasteful number, since it uses less digits than its factorization.

252000405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23681 (or 23678 counting only the distinct ones).

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

The square root of 252000405 is about 15874.5206226834. The cubic root of 252000405 is about 631.6362981419.

Adding to 252000405 its reverse (504000252), we get a palindrome (756000657).

It can be divided in two parts, 252000 and 405, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 252000405 in words is "two hundred fifty-two million, four hundred five", and thus it is an aban number.