252655200 has 360 divisors, whose sum is σ = 1054901232. Its totient is φ = 57646080.

The previous prime is 252655147. The next prime is 252655201. The reversal of 252655200 is 2556252.

252655200 is a `hidden beast` number, since 2 + 5 + 2 + 655 + 2 + 0 + 0 = 666.

252655200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 (252655201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453322 + ... + 453878.

Almost surely, 2^252655200 is an apocalyptic number.

252655200 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 252655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527450616).

252655200 is an abundant number, since it is smaller than the sum of its proper divisors (802246032).

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

252655200 is a wasteful number, since it uses less digits than its factorization.

252655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 252655200 is about 15895.1313300646. The cubic root of 252655200 is about 632.1829038527.

The spelling of 252655200 in words is "two hundred fifty-two million, six hundred fifty-five thousand, two hundred".