208608400 has 240 divisors, whose sum is σ = 674206848. Its totient is φ = 59904000.

The previous prime is 208608373. The next prime is 208608403. The reversal of 208608400 is 4806802.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (208608403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 400140 + ... + 400660.

Almost surely, 2^208608400 is an apocalyptic number.

208608400 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 208608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337103424).

208608400 is an abundant number, since it is smaller than the sum of its proper divisors (465598448).

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

208608400 is a wasteful number, since it uses less digits than its factorization.

208608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 208608400 is about 14443.2821754614. The cubic root of 208608400 is about 593.0763380837.

The spelling of 208608400 in words is "two hundred eight million, six hundred eight thousand, four hundred".