400000006 has 32 divisors (see below), whose sum is σ = 711180288. Its totient is φ = 165114720.

The previous prime is 399999959. The next prime is 400000009. The reversal of 400000006 is 600000004.

400000006 is a modest number, since divided by 6 gives 4 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 399999938 and 400000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94716 + ... + 98848.

It is an arithmetic number, because the mean of its divisors is an integer number (22224384).

Almost surely, 2^400000006 is an apocalyptic number.

400000006 is a deficient number, since it is larger than the sum of its proper divisors (311180282).

400000006 is a wasteful number, since it uses less digits than its factorization.

400000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 400000006 is about 20000.0001500000. Note that the first 3 decimals coincide. The cubic root of 400000006 is about 736.8063034121.

The spelling of 400000006 in words is "four hundred million, six", and thus it is an aban number.