252832000 has 72 divisors (see below), whose sum is σ = 629915832. Its totient is φ = 101120000.

The previous prime is 252831979. The next prime is 252832009. The reversal of 252832000 is 238252.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 249387264 = 1856^2 + 15792^2 .

It is not an unprimeable number, because it can be changed into a prime (252832009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28050 + ... + 35950.

It is an arithmetic number, because the mean of its divisors is an integer number (8748831).

Almost surely, 2^252832000 is an apocalyptic number.

252832000 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 252832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314957916).

252832000 is an abundant number, since it is smaller than the sum of its proper divisors (377083832).

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

252832000 is an frugal number, since it uses more digits than its factorization.

252832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7932 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 252832000 is about 15900.6918088491. The cubic root of 252832000 is about 632.3303299055.

The spelling of 252832000 in words is "two hundred fifty-two million, eight hundred thirty-two thousand".