400800411 has 24 divisors (see below), whose sum is σ = 638090544. Its totient is φ = 240399360.

The previous prime is 400800409. The next prime is 400800437. The reversal of 400800411 is 114008004.

It is not a de Polignac number, because 400800411 - 2¹ = 400800409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400800451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11266 + ... + 30471.

It is an arithmetic number, because the mean of its divisors is an integer number (26587106).

Almost surely, 2^400800411 is an apocalyptic number.

400800411 is a deficient number, since it is larger than the sum of its proper divisors (237290133).

400800411 is a wasteful number, since it uses less digits than its factorization.

400800411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41851 (or 41848 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 400800411 is about 20020.0002747253. Note that the first 3 decimals coincide. The cubic root of 400800411 is about 737.2974288420.

Adding to 400800411 its reverse (114008004), we get a palindrome (514808415).

It can be divided in two parts, 4008004 and 11, that multiplied together give a palindrome (44088044).

The spelling of 400800411 in words is "four hundred million, eight hundred thousand, four hundred eleven".