252704 has 24 divisors (see below), whose sum is σ = 510300. Its totient is φ = 123136.

The previous prime is 252691. The next prime is 252709. The reversal of 252704 is 407252.

252704 is digitally balanced in base 2, 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 2 ways, for example, as 250000 + 2704 = 500^2 + 52^2 .

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252709) by changing a digit.

252704 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 3 ways as a sum of consecutive naturals, for example, 1622 + ... + 1770.

2²⁵²⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255150).

252704 is an abundant number, since it is smaller than the sum of its proper divisors (257596).

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

252704 is a wasteful number, since it uses less digits than its factorization.

252704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 252704 is about 502.6967276599. The cubic root of 252704 is about 63.2223602982. Note that the first 3 decimals are identical.

Adding to 252704 its reverse (407252), we get a palindrome (659956).

It can be divided in two parts, 25 and 2704, that multiplied together give a square (67600 = 260²).

The spelling of 252704 in words is "two hundred fifty-two thousand, seven hundred four".