245200 has 30 divisors (see below), whose sum is σ = 590054. Its totient is φ = 97920.

The previous prime is 245183. The next prime is 245209. The reversal of 245200 is 2542.

It is a happy number.

245200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 3 ways, for example, as 3136 + 242064 = 56^2 + 492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245209) by changing a digit.

245200 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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94 + ... + 706.

2²⁴⁵²⁰⁰ is an apocalyptic number.

245200 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 245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295027).

245200 is an abundant number, since it is smaller than the sum of its proper divisors (344854).

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

245200 is a wasteful number, since it uses less digits than its factorization.

245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 245200 is about 495.1767361256. The cubic root of 245200 is about 62.5902695597.

Adding to 245200 its reverse (2542), we get a palindrome (247742).

The spelling of 245200 in words is "two hundred forty-five thousand, two hundred".