251200 has 42 divisors (see below), whose sum is σ = 622046. Its totient is φ = 99840.

The previous prime is 251197. The next prime is 251201. The reversal of 251200 is 2152.

251200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 246016 = 72^2 + 496^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 14.

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1522 + ... + 1678.

2²⁵¹²⁰⁰ is an apocalyptic number.

251200 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 251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311023).

251200 is an abundant number, since it is smaller than the sum of its proper divisors (370846).

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

251200 is a wasteful number, since it uses less digits than its factorization.

251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 251200 is about 501.1985634457. The cubic root of 251200 is about 63.0966853375.

Adding to 251200 its reverse (2152), we get a palindrome (253352).

It can be divided in two parts, 25 and 1200, that added together give a triangular number (1225 = T₄₉).

The spelling of 251200 in words is "two hundred fifty-one thousand, two hundred".