400668 has 24 divisors (see below), whose sum is σ = 945168. Its totient is φ = 132096.

The previous prime is 400657. The next prime is 400679. The reversal of 400668 is 866004.

400668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (400657) and next prime (400679).

It is a congruent number.

It is an unprimeable number.

400668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (39382).

2⁴⁰⁰⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

400668 is an abundant number, since it is smaller than the sum of its proper divisors (544500).

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

400668 is a wasteful number, since it uses less digits than its factorization.

400668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 400668 is about 632.9834121049. The cubic root of 400668 is about 73.7216227127.

The spelling of 400668 in words is "four hundred thousand, six hundred sixty-eight".