401456 has 20 divisors (see below), whose sum is σ = 848904. Its totient is φ = 182400.

The previous prime is 401417. The next prime is 401473. The reversal of 401456 is 654104.

It is a happy number.

It is a super-2 number, since 2×401456² = 322333839872, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 965 + ... + 1316.

2⁴⁰¹⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

401456 is an abundant number, since it is smaller than the sum of its proper divisors (447448).

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

401456 is a wasteful number, since it uses less digits than its factorization.

401456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 401456 is about 633.6055555312. The cubic root of 401456 is about 73.7699208850.

The spelling of 401456 in words is "four hundred one thousand, four hundred fifty-six".