252750084 has 96 divisors (see below), whose sum is σ = 668707200. Its totient is φ = 73820160.

The previous prime is 252750079. The next prime is 252750119. The reversal of 252750084 is 480057252.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235902 + ... + 236970.

It is an arithmetic number, because the mean of its divisors is an integer number (6965700).

Almost surely, 2^252750084 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 252750084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334353600).

252750084 is an abundant number, since it is smaller than the sum of its proper divisors (415957116).

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

252750084 is a wasteful number, since it uses less digits than its factorization.

252750084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 252750084 is about 15898.1157374074. The cubic root of 252750084 is about 632.2620321605.

The spelling of 252750084 in words is "two hundred fifty-two million, seven hundred fifty thousand, eighty-four".