252236160 has 256 divisors, whose sum is σ = 975283200. Its totient is φ = 61102080.

The previous prime is 252236111. The next prime is 252236161. The reversal of 252236160 is 61632252.

252236160 is a `hidden beast` number, since 25 + 2 + 23 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252236161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189417 + ... + 190743.

It is an arithmetic number, because the mean of its divisors is an integer number (3809700).

Almost surely, 2^252236160 is an apocalyptic number.

252236160 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 252236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487641600).

252236160 is an abundant number, since it is smaller than the sum of its proper divisors (723047040).

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

252236160 is a wasteful number, since it uses less digits than its factorization.

252236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 252236160 is about 15881.9444653355. The cubic root of 252236160 is about 631.8332092042.

The spelling of 252236160 in words is "two hundred fifty-two million, two hundred thirty-six thousand, one hundred sixty".