400144005 has 24 divisors (see below), whose sum is σ = 697191768. Its totient is φ = 212299776.

The previous prime is 400143929. The next prime is 400144049. The reversal of 400144005 is 500441004.

It can be written as a sum of positive squares in 4 ways, for example, as 41912676 + 358231329 = 6474^2 + 18927^2 .

It is not a de Polignac number, because 400144005 - 2²⁰ = 399095429 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14352 + ... + 31721.

It is an arithmetic number, because the mean of its divisors is an integer number (29049657).

Almost surely, 2^400144005 is an apocalyptic number.

400144005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400144005 is a deficient number, since it is larger than the sum of its proper divisors (297047763).

400144005 is a wasteful number, since it uses less digits than its factorization.

400144005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46277 (or 46274 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 400144005 is about 20003.5998010358. The cubic root of 400144005 is about 736.8947089454.

Adding to 400144005 its reverse (500441004), we get a palindrome (900585009).

The spelling of 400144005 in words is "four hundred million, one hundred forty-four thousand, five".