400476105 has 12 divisors (see below), whose sum is σ = 694158660. Its totient is φ = 213587232.

The previous prime is 400476067. The next prime is 400476113. The reversal of 400476105 is 501674004.

400476105 is a `hidden beast` number, since 4 + 0 + 0 + 47 + 610 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 279123849 + 121352256 = 16707^2 + 11016^2 .

It is not a de Polignac number, because 400476105 - 2¹¹ = 400474057 is a prime.

It is a super-2 number, since 2×400476105² = 320762221351942050, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4449690 + ... + 4449779.

It is an arithmetic number, because the mean of its divisors is an integer number (57846555).

Almost surely, 2^400476105 is an apocalyptic number.

400476105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400476105 is a deficient number, since it is larger than the sum of its proper divisors (293682555).

400476105 is a wasteful number, since it uses less digits than its factorization.

400476105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899480 (or 8899477 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 400476105 is about 20011.8990852942. The cubic root of 400476105 is about 737.0985147906.

The spelling of 400476105 in words is "four hundred million, four hundred seventy-six thousand, one hundred five".