208450468800 has 1512 divisors, whose sum is σ = 911603216160. Its totient is φ = 44977766400.

The previous prime is 208450468799. The next prime is 208450468819. The reversal of 208450468800 is 8864054802.

208450468800 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 504 + 68 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 1248206317 + ... + 1248206483.

It is an arithmetic number, because the mean of its divisors is an integer number (602912180).

Almost surely, 2^208450468800 is an apocalyptic number.

208450468800 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 208450468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455801608080).

208450468800 is an abundant number, since it is smaller than the sum of its proper divisors (703152747360).

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

208450468800 is a wasteful number, since it uses less digits than its factorization.

208450468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 208450468800 in words is "two hundred eight billion, four hundred fifty million, four hundred sixty-eight thousand, eight hundred".