400205001 has 24 divisors (see below), whose sum is σ = 628223904. Its totient is φ = 225926400.

The previous prime is 400204997. The next prime is 400205011. The reversal of 400205001 is 100502004.

It is not a de Polignac number, because 400205001 - 2² = 400204997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400205011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4200 + ... + 28601.

It is an arithmetic number, because the mean of its divisors is an integer number (26175996).

Almost surely, 2^400205001 is an apocalyptic number.

It is an amenable number.

400205001 is a deficient number, since it is larger than the sum of its proper divisors (228018903).

400205001 is a wasteful number, since it uses less digits than its factorization.

400205001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32901 (or 32894 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 400205001 is about 20005.1243685212. The cubic root of 400205001 is about 736.9321499212.

Adding to 400205001 its reverse (100502004), we get a palindrome (500707005).

The spelling of 400205001 in words is "four hundred million, two hundred five thousand, one".