208465223400 has 768 divisors, whose sum is σ = 872140608000. Its totient is φ = 44679168000.

The previous prime is 208465223387. The next prime is 208465223411. The reversal of 208465223400 is 4322564802.

208465223400 is a `hidden beast` number, since 20 + 8 + 4 + 6 + 5 + 223 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257682196 + ... + 257683004.

It is an arithmetic number, because the mean of its divisors is an integer number (1135599750).

Almost surely, 2^208465223400 is an apocalyptic number.

208465223400 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 208465223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436070304000).

208465223400 is an abundant number, since it is smaller than the sum of its proper divisors (663675384600).

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

208465223400 is a wasteful number, since it uses less digits than its factorization.

208465223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 208465223400 in words is "two hundred eight billion, four hundred sixty-five million, two hundred twenty-three thousand, four hundred".