250141200 has 120 divisors (see below), whose sum is σ = 807240000. Its totient is φ = 66209280.

The previous prime is 250141193. The next prime is 250141253. The reversal of 250141200 is 2141052.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 250141200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178101 + ... + 179499.

It is an arithmetic number, because the mean of its divisors is an integer number (6727000).

Almost surely, 2^250141200 is an apocalyptic number.

250141200 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 250141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403620000).

250141200 is an abundant number, since it is smaller than the sum of its proper divisors (557098800).

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

250141200 is a wasteful number, since it uses less digits than its factorization.

250141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 250141200 is about 15815.8528065988. The cubic root of 250141200 is about 630.0791031941.

Adding to 250141200 its reverse (2141052), we get a palindrome (252282252).

The spelling of 250141200 in words is "two hundred fifty million, one hundred forty-one thousand, two hundred".