245941200 has 180 divisors, whose sum is σ = 870262380. Its totient is φ = 64296960.

The previous prime is 245941181. The next prime is 245941217. The reversal of 245941200 is 2149542.

245941200 is a `hidden beast` number, since 2 + 459 + 4 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4822416 + 241118784 = 2196^2 + 15528^2 .

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 190156 + ... + 191444.

It is an arithmetic number, because the mean of its divisors is an integer number (4834791).

Almost surely, 2^245941200 is an apocalyptic number.

245941200 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 245941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435131190).

245941200 is an abundant number, since it is smaller than the sum of its proper divisors (624321180).

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

245941200 is a wasteful number, since it uses less digits than its factorization.

245941200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 245941200 is about 15682.5125537970. The cubic root of 245941200 is about 626.5327287820.

The spelling of 245941200 in words is "two hundred forty-five million, nine hundred forty-one thousand, two hundred".