400016 has 20 divisors (see below), whose sum is σ = 809472. Its totient is φ = 191136.

The previous prime is 400009. The next prime is 400031. The reversal of 400016 is 610004.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 176 + ... + 911.

2⁴⁰⁰⁰¹⁶ is an apocalyptic number.

400016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

400016 is an abundant number, since it is smaller than the sum of its proper divisors (409456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400016 is a wasteful number, since it uses less digits than its factorization.

400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 400016 is about 632.4681810178. The cubic root of 400016 is about 73.6816123681.

It can be divided in two parts, 4000 and 16, that multiplied together give a cube (64000 = 40³).

The spelling of 400016 in words is "four hundred thousand, sixteen".