245017240200 has 288 divisors, whose sum is σ = 854813100960. Its totient is φ = 65224051200.

The previous prime is 245017240159. The next prime is 245017240217. The reversal of 245017240200 is 2042710542.

245017240200 is a `hidden beast` number, since 2 + 450 + 1 + 7 + 2 + 4 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29982115 + ... + 29990285.

It is an arithmetic number, because the mean of its divisors is an integer number (2968101045).

Almost surely, 2^245017240200 is an apocalyptic number.

245017240200 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 245017240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427406550480).

245017240200 is an abundant number, since it is smaller than the sum of its proper divisors (609795860760).

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

245017240200 is a wasteful number, since it uses less digits than its factorization.

245017240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8798 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 245017240200 its reverse (2042710542), we get a palindrome (247059950742).

The spelling of 245017240200 in words is "two hundred forty-five billion, seventeen million, two hundred forty thousand, two hundred".