400008 has 32 divisors (see below), whose sum is σ = 1143360. Its totient is φ = 114240.

The previous prime is 399989. The next prime is 400009. The reversal of 400008 is 800004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 399966 and 400002.

It is not an unprimeable number, because it can be changed into a prime (400009) by changing a digit.

400008 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1023 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (35730).

2⁴⁰⁰⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

400008 is an abundant number, since it is smaller than the sum of its proper divisors (743352).

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

400008 is a wasteful number, since it uses less digits than its factorization.

400008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 400008 is about 632.4618565574. The cubic root of 400008 is about 73.6811211737.

The spelling of 400008 in words is "four hundred thousand, eight".