360252 has 18 divisors (see below), whose sum is σ = 910728. Its totient is φ = 120072.

The previous prime is 360233. The next prime is 360257. The reversal of 360252 is 252063.

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

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 3⁷ + 6⁷ + 2 + 0 + 5⁷ + 2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360257) by changing a digit.

360252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 4968 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (50596).

2³⁶⁰²⁵² is an apocalyptic number.

It is an amenable number.

360252 is an abundant number, since it is smaller than the sum of its proper divisors (550476).

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

360252 is a wasteful number, since it uses less digits than its factorization.

360252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 360252 is about 600.2099632629. The cubic root of 360252 is about 71.1544610537.

The spelling of 360252 in words is "three hundred sixty thousand, two hundred fifty-two".