245041200 has 180 divisors, whose sum is σ = 882205688. Its totient is φ = 65318400.

The previous prime is 245041193. The next prime is 245041211. The reversal of 245041200 is 2140542.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable 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 35 ways as a sum of consecutive naturals, for example, 95940 + ... + 98460.

Almost surely, 2^245041200 is an apocalyptic number.

245041200 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 245041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441102844).

245041200 is an abundant number, since it is smaller than the sum of its proper divisors (637164488).

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

245041200 is a wasteful number, since it uses less digits than its factorization.

245041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 245041200 is about 15653.7918728978. The cubic root of 245041200 is about 625.7675476737.

Adding to 245041200 its reverse (2140542), we get a palindrome (247181742).

The spelling of 245041200 in words is "two hundred forty-five million, forty-one thousand, two hundred".