252550800 has 270 divisors, whose sum is σ = 918010626. Its totient is φ = 64281600.

The previous prime is 252550799. The next prime is 252550801. The reversal of 252550800 is 8055252.

252550800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252550799) and next prime (252550801).

It can be written as a sum of positive squares in 3 ways, for example, as 19927296 + 232623504 = 4464^2 + 15252^2 .

It is not an unprimeable number, because it can be changed into a prime (252550801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3459564 + ... + 3459636.

Almost surely, 2^252550800 is an apocalyptic number.

252550800 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 252550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459005313).

252550800 is an abundant number, since it is smaller than the sum of its proper divisors (665459826).

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

252550800 is a wasteful number, since it uses less digits than its factorization.

252550800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 252550800 is about 15891.8469662906. The cubic root of 252550800 is about 632.0958168030.

The spelling of 252550800 in words is "two hundred fifty-two million, five hundred fifty thousand, eight hundred".