208416401 has 8 divisors (see below), whose sum is σ = 210124200. Its totient is φ = 206713728.

The previous prime is 208416389. The next prime is 208416421. The reversal of 208416401 is 104614802.

It can be written as a sum of positive squares in 4 ways, for example, as 40972801 + 167443600 = 6401^2 + 12940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 208416401 - 2⁶ = 208416337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (208416421) 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 7 ways as a sum of consecutive naturals, for example, 133775 + ... + 135323.

It is an arithmetic number, because the mean of its divisors is an integer number (26265525).

Almost surely, 2^208416401 is an apocalyptic number.

It is an amenable number.

208416401 is a deficient number, since it is larger than the sum of its proper divisors (1707799).

208416401 is a wasteful number, since it uses less digits than its factorization.

208416401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 208416401 is about 14436.6339913430. The cubic root of 208416401 is about 592.8943303661.

The spelling of 208416401 in words is "two hundred eight million, four hundred sixteen thousand, four hundred one".