400961005 has 8 divisors (see below), whose sum is σ = 481440024. Its totient is φ = 320577600.

The previous prime is 400960981. The next prime is 400961027. The reversal of 400961005 is 500169004.

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 361798441 = 6258^2 + 19021^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400961005 - 2⁹ = 400960493 is a prime.

It is a super-2 number, since 2×400961005² = 321539455061220050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14326 + ... + 31735.

It is an arithmetic number, because the mean of its divisors is an integer number (60180003).

Almost surely, 2^400961005 is an apocalyptic number.

It is an amenable number.

400961005 is a deficient number, since it is larger than the sum of its proper divisors (80479019).

400961005 is a wasteful number, since it uses less digits than its factorization.

400961005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47807.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 400961005 is about 20024.0107121426. The cubic root of 400961005 is about 737.3958899290.

The spelling of 400961005 in words is "four hundred million, nine hundred sixty-one thousand, five".