245576470200 has 192 divisors, whose sum is σ = 769629535200. Its totient is φ = 64770816000.

The previous prime is 245576470193. The next prime is 245576470213. The reversal of 245576470200 is 2074675542.

245576470200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88050406 + ... + 88053194.

Almost surely, 2^245576470200 is an apocalyptic number.

245576470200 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 245576470200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384814767600).

245576470200 is an abundant number, since it is smaller than the sum of its proper divisors (524053065000).

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

245576470200 is a wasteful number, since it uses less digits than its factorization.

245576470200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 245576470200 in words is "two hundred forty-five billion, five hundred seventy-six million, four hundred seventy thousand, two hundred".