405252 has 18 divisors (see below), whose sum is σ = 1024478. Its totient is φ = 135072.

The previous prime is 405247. The next prime is 405253. The reversal of 405252 is 252504.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 15876 = 624^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (405253) by changing a digit.

405252 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 5 ways as a sum of consecutive naturals, for example, 5593 + ... + 5664.

2⁴⁰⁵²⁵² is an apocalyptic number.

It is an amenable number.

405252 is an abundant number, since it is smaller than the sum of its proper divisors (619226).

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

405252 is a wasteful number, since it uses less digits than its factorization.

405252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267 (or 11262 counting only the distinct ones).

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

The square root of 405252 is about 636.5940621778. The cubic root of 405252 is about 74.0017043679.

Adding to 405252 its reverse (252504), we get a palindrome (657756).

The spelling of 405252 in words is "four hundred five thousand, two hundred fifty-two".