208200464 has 40 divisors (see below), whose sum is σ = 420330240. Its totient is φ = 99792000.

The previous prime is 208200431. The next prime is 208200467. The reversal of 208200464 is 464002802.

208200464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (208200467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52139 + ... + 55989.

It is an arithmetic number, because the mean of its divisors is an integer number (10508256).

Almost surely, 2^208200464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208200464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210165120).

208200464 is an abundant number, since it is smaller than the sum of its proper divisors (212129776).

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

208200464 is a wasteful number, since it uses less digits than its factorization.

208200464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 208200464 is about 14429.1532669107. The cubic root of 208200464 is about 592.6894967354.

The spelling of 208200464 in words is "two hundred eight million, two hundred thousand, four hundred sixty-four".