252630 has 48 divisors (see below), whose sum is σ = 752544. Its totient is φ = 57600.

The previous prime is 252617. The next prime is 252641. The reversal of 252630 is 36252.

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

It is a congruent number.

It is an unprimeable number.

252630 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 23 ways as a sum of consecutive naturals, for example, 430 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (15678).

2²⁵²⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376272).

252630 is an abundant number, since it is smaller than the sum of its proper divisors (499914).

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

252630 is a wasteful number, since it uses less digits than its factorization.

252630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 418 counting only the distinct ones).

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

The square root of 252630 is about 502.6231192454. The cubic root of 252630 is about 63.2161885038.

Adding to 252630 its reverse (36252), we get a palindrome (288882).

It can be divided in two parts, 2526 and 30, that added together give a triangular number (2556 = T₇₁).

The spelling of 252630 in words is "two hundred fifty-two thousand, six hundred thirty".