250400 has 36 divisors (see below), whose sum is σ = 613242. Its totient is φ = 99840.

The previous prime is 250361. The next prime is 250403. The reversal of 250400 is 4052.

It can be written as a sum of positive squares in 3 ways, for example, as 99856 + 150544 = 316^2 + 388^2 .

It is a sliding number, since 250400 = 400 + 250000 and 1/400 + 1/250000 = 0.00250400.

It is not an unprimeable number, because it can be changed into a prime (250403) by changing a digit.

250400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 644 + ... + 956.

2²⁵⁰⁴⁰⁰ is an apocalyptic number.

250400 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 250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306621).

250400 is an abundant number, since it is smaller than the sum of its proper divisors (362842).

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

250400 is a wasteful number, since it uses less digits than its factorization.

250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 250400 is about 500.3998401279. The cubic root of 250400 is about 63.0296324864.

Adding to 250400 its reverse (4052), we get a palindrome (254452).

It can be divided in two parts, 250 and 400, that multiplied together give a 5-th power (100000 = 10⁵).

The spelling of 250400 in words is "two hundred fifty thousand, four hundred".