252071600 has 120 divisors (see below), whose sum is σ = 672546240. Its totient is φ = 90016000.

The previous prime is 252071593. The next prime is 252071609. The reversal of 252071600 is 6170252.

It is not an unprimeable number, because it can be changed into a prime (252071609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 259115 + ... + 260085.

It is an arithmetic number, because the mean of its divisors is an integer number (5604552).

Almost surely, 2^252071600 is an apocalyptic number.

252071600 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 252071600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336273120).

252071600 is an abundant number, since it is smaller than the sum of its proper divisors (420474640).

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

252071600 is a wasteful number, since it uses less digits than its factorization.

252071600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 252071600 is about 15876.7628942426. The cubic root of 252071600 is about 631.6957757077.

The spelling of 252071600 in words is "two hundred fifty-two million, seventy-one thousand, six hundred".