400263201 has 20 divisors (see below), whose sum is σ = 643919892. Its totient is φ = 246315168.

The previous prime is 400263187. The next prime is 400263203. The reversal of 400263201 is 102362004.

It is a happy number.

400263201 is a `hidden beast` number, since 400 + 2 + 63 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 183467025 + 216796176 = 13545^2 + 14724^2 .

It is not a de Polignac number, because 400263201 - 2⁶ = 400263137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400263203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189006 + ... + 191111.

Almost surely, 2^400263201 is an apocalyptic number.

It is an amenable number.

400263201 is a deficient number, since it is larger than the sum of its proper divisors (243656691).

400263201 is a wasteful number, since it uses less digits than its factorization.

400263201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380142 (or 380133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 400263201 is about 20006.5789429377. The cubic root of 400263201 is about 736.9678710909.

The spelling of 400263201 in words is "four hundred million, two hundred sixty-three thousand, two hundred one".