252468 has 18 divisors (see below), whose sum is σ = 638274. Its totient is φ = 84144.

The previous prime is 252463. The next prime is 252481. The reversal of 252468 is 864252.

252468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 10404 = 492^2 + 102^2 .

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252468.

It is not an unprimeable number, because it can be changed into a prime (252463) by changing a digit.

252468 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, 3471 + ... + 3542.

2²⁵²⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

252468 is an abundant number, since it is smaller than the sum of its proper divisors (385806).

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

252468 is a wasteful number, since it uses less digits than its factorization.

252468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7023 (or 7018 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 252468 is about 502.4619388571. The cubic root of 252468 is about 63.2026730697.

The spelling of 252468 in words is "two hundred fifty-two thousand, four hundred sixty-eight".