456440 has 16 divisors (see below), whose sum is σ = 1027080. Its totient is φ = 182560.

The previous prime is 456439. The next prime is 456451. The reversal of 456440 is 44654.

It is a happy number.

456440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5666 + ... + 5745.

2⁴⁵⁶⁴⁴⁰ is an apocalyptic number.

456440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456440 is an abundant number, since it is smaller than the sum of its proper divisors (570640).

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

456440 is a wasteful number, since it uses less digits than its factorization.

456440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 456440 is about 675.6034339759. The cubic root of 456440 is about 76.9947711072.

The spelling of 456440 in words is "four hundred fifty-six thousand, four hundred forty".