206438401 has 24 divisors (see below), whose sum is σ = 237168000. Its totient is φ = 179105472.

The previous prime is 206438389. The next prime is 206438447. The reversal of 206438401 is 104834602.

It is not a de Polignac number, because 206438401 - 2⁵ = 206438369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 206438401.

It is not an unprimeable number, because it can be changed into a prime (206438461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767295 + ... + 767563.

It is an arithmetic number, because the mean of its divisors is an integer number (9882000).

It is a Proth number, since it is equal to 1575 ⋅ 2¹⁷ + 1 and 1575 < 2¹⁷.

Almost surely, 2^206438401 is an apocalyptic number.

It is an amenable number.

206438401 is a deficient number, since it is larger than the sum of its proper divisors (30729599).

206438401 is a wasteful number, since it uses less digits than its factorization.

206438401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 206438401 is about 14367.9644000116. The cubic root of 206438401 is about 591.0127210976.

The spelling of 206438401 in words is "two hundred six million, four hundred thirty-eight thousand, four hundred one".