252414 has 24 divisors (see below), whose sum is σ = 563160. Its totient is φ = 81648.

The previous prime is 252409. The next prime is 252419. The reversal of 252414 is 414252.

252414 is a `hidden beast` number, since 252 + 414 = 666.

It is an interprime number because it is at equal distance from previous prime (252409) and next prime (252419).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252419) by changing a digit.

252414 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 11 ways as a sum of consecutive naturals, for example, 477 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (23465).

2²⁵²⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281580).

252414 is an abundant number, since it is smaller than the sum of its proper divisors (310746).

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

252414 is a wasteful number, since it uses less digits than its factorization.

252414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 421 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 252414 is about 502.4082005700. The cubic root of 252414 is about 63.1981666402.

Adding to 252414 its reverse (414252), we get a palindrome (666666).

It can be divided in two parts, 252 and 414, that added together give a palindrome (666).

The spelling of 252414 in words is "two hundred fifty-two thousand, four hundred fourteen".