208428600 has 96 divisors (see below), whose sum is σ = 648529920. Its totient is φ = 55374720.

The previous prime is 208428587. The next prime is 208428607. The reversal of 208428600 is 6824802.

It is a happy number.

208428600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208428607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229347 + ... + 230253.

It is an arithmetic number, because the mean of its divisors is an integer number (6755520).

Almost surely, 2^208428600 is an apocalyptic number.

208428600 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 208428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324264960).

208428600 is an abundant number, since it is smaller than the sum of its proper divisors (440101320).

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

208428600 is a wasteful number, since it uses less digits than its factorization.

208428600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 208428600 is about 14437.0564866942. The cubic root of 208428600 is about 592.9058978768.

The spelling of 208428600 in words is "two hundred eight million, four hundred twenty-eight thousand, six hundred".