252332000 has 96 divisors (see below), whose sum is σ = 625060800. Its totient is φ = 100108800.

The previous prime is 252331997. The next prime is 252332039. The reversal of 252332000 is 233252.

It is a self number, because there is not a number n which added to its sum of digits gives 252332000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 795842 + ... + 796158.

It is an arithmetic number, because the mean of its divisors is an integer number (6511050).

Almost surely, 2^252332000 is an apocalyptic number.

252332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312530400).

252332000 is an abundant number, since it is smaller than the sum of its proper divisors (372728800).

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

252332000 is a wasteful number, since it uses less digits than its factorization.

252332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 252332000 is about 15884.9614415648. The cubic root of 252332000 is about 631.9132231441.

Adding to 252332000 its reverse (233252), we get a palindrome (252565252).

The spelling of 252332000 in words is "two hundred fifty-two million, three hundred thirty-two thousand".