245215200 has 144 divisors (see below), whose sum is σ = 808448256. Its totient is φ = 64550400.

The previous prime is 245215193. The next prime is 245215207. The reversal of 245215200 is 2512542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (245215193) and next prime (245215207).

It is a super-2 number, since 2×245215200² = 120260988622080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245215207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198585 + ... + 199815.

It is an arithmetic number, because the mean of its divisors is an integer number (5614224).

Almost surely, 2^245215200 is an apocalyptic number.

245215200 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 245215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404224128).

245215200 is an abundant number, since it is smaller than the sum of its proper divisors (563233056).

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

245215200 is a wasteful number, since it uses less digits than its factorization.

245215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 245215200 is about 15659.3486454578. The cubic root of 245215200 is about 625.9156286104.

Adding to 245215200 its reverse (2512542), we get a palindrome (247727742).

The spelling of 245215200 in words is "two hundred forty-five million, two hundred fifteen thousand, two hundred".