400456 has 16 divisors (see below), whose sum is σ = 858240. Its totient is φ = 171600.

The previous prime is 400441. The next prime is 400457. The reversal of 400456 is 654004.

It is not an unprimeable number, because it can be changed into a prime (400457) by changing a digit.

400456 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 3 ways as a sum of consecutive naturals, for example, 3520 + ... + 3631.

It is an arithmetic number, because the mean of its divisors is an integer number (53640).

2⁴⁰⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

400456 is an abundant number, since it is smaller than the sum of its proper divisors (457784).

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

400456 is a wasteful number, since it uses less digits than its factorization.

400456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 400456 is about 632.8159290031. The cubic root of 400456 is about 73.7086179794.

The spelling of 400456 in words is "four hundred thousand, four hundred fifty-six".