252705600 has 504 divisors, whose sum is σ = 1080942720. Its totient is φ = 54743040.

The previous prime is 252705599. The next prime is 252705601. The reversal of 252705600 is 6507252.

252705600 is a `hidden beast` number, since 2 + 52 + 7 + 0 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (252705599) and next prime (252705601).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252705601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2318346 + ... + 2318454.

Almost surely, 2^252705600 is an apocalyptic number.

252705600 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 252705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540471360).

252705600 is an abundant number, since it is smaller than the sum of its proper divisors (828237120).

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

252705600 is a wasteful number, since it uses less digits than its factorization.

252705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252705600 is about 15896.7166421246. The cubic root of 252705600 is about 632.2249372906.

The spelling of 252705600 in words is "two hundred fifty-two million, seven hundred five thousand, six hundred".