400505205 has 16 divisors (see below), whose sum is σ = 658128384. Its totient is φ = 207829440.

The previous prime is 400505201. The next prime is 400505221. The reversal of 400505205 is 502505004.

It is not a de Polignac number, because 400505205 - 2² = 400505201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400505201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360261 + ... + 361370.

It is an arithmetic number, because the mean of its divisors is an integer number (41133024).

Almost surely, 2^400505205 is an apocalyptic number.

It is an amenable number.

400505205 is a deficient number, since it is larger than the sum of its proper divisors (257623179).

400505205 is a wasteful number, since it uses less digits than its factorization.

400505205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721676.

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 400505205 is about 20012.6261395150. The cubic root of 400505205 is about 737.1163677470.

The spelling of 400505205 in words is "four hundred million, five hundred five thousand, two hundred five".